{"id":625990,"date":"2023-09-08T12:23:42","date_gmt":"2023-09-08T12:23:42","guid":{"rendered":"https:\/\/www.indcareer.com\/schools\/?p=625990"},"modified":"2023-09-08T12:23:48","modified_gmt":"2023-09-08T12:23:48","slug":"kc-sinha-exercise-13-6-mathematics-solution-class-11-chapter-13-kramachay-aur-sanchay","status":"publish","type":"post","link":"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-13-6-mathematics-solution-class-11-chapter-13-kramachay-aur-sanchay\/","title":{"rendered":"KC Sinha: Exercise 13.6 – Mathematics Solution Class 11 Chapter 13 \u0915\u094d\u0930\u092e\u091a\u092f \u0914\u0930 \u0938\u0902\u091a\u092f"},"content":{"rendered":"\n\n\n\n\n

Question 1<\/h4>\n\n\n\n

\u0915\u093f\u0924\u0928\u0947 \u0924\u0930\u0940\u0915\u094b\u0902 \u0938\u0947 5 \u0935\u094d\u092f\u0915\u094d\u0924\u093f \u090f\u0915 \u091f\u0947\u092c\u0941\u0932 \u0915\u0947 \u091a\u093e\u0930\u094b\u0902 \u0913\u0930 \u092c\u0948\u0920 \u0938\u0915\u0924\u0947 \u0939\u0948 ?
[In how many ways can 5 men sit around a table]<\/strong><\/p>\n\n\n\n

Sol :
5 \u0935\u094d\u092f\u0915\u094d\u0924\u093f\u092f\u094b\u0902 \u0915\u094b \u090f\u0915 \u091f\u0947\u092c\u0941\u0932 \u0915\u0947 \u091a\u093e\u0930\u094b\u0902 \u0913\u0930 \u092c\u0948\u0920\u093e\u0928\u0947 \u0915\u093e \u0924\u0930\u0940\u0915\u093e=(5-1)!
=4!
=24<\/p>\n\n\n\n

Question 2<\/h4>\n\n\n\n

5 \u0932\u0921\u093c\u0915\u0947 \u0914\u0930 5 \u0932\u0921\u093c\u0915\u093f\u092f\u093e\u0901 \u090f\u0915 \u091f\u0947\u092c\u0941\u0932 \u0915\u0947 \u091a\u093e\u0930\u094b\u0902 \u0924\u0930\u092b \u0915\u093f\u0924\u0928\u0947 \u0924\u0930\u0940\u0915\u0947 \u0938\u0947 \u092c\u0948\u0920 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902 ?<\/strong><\/p>\n\n\n\n

[In how many ways 5 boys and 5 girls can sit around a table]<\/strong><\/p>\n\n\n\n

(i) \u092f\u0926\u093f \u0915\u094b\u0908 \u092a\u094d\u0930\u0924\u093f\u092c\u0902\u0927 \u0928 \u0939\u094b\u0902\u0964<\/strong><\/p>\n\n\n\n

[if there is no restriction]<\/strong><\/p>\n\n\n\n

(ii) \u0926\u094b \u0932\u0921\u093c\u0915\u093f\u092f\u093e\u0901 \u090f\u0915 \u0938\u093e\u0925 \u0928\u0939\u0940\u0902 \u092c\u0948\u0920\u0947\u0964<\/strong><\/p>\n\n\n\n

[No two girls sit side by side]<\/strong><\/p>\n\n\n\n

Sol :<\/p>\n\n\n\n

(i) \u0915\u0941\u0932 10 \u0935\u094d\u092f\u0915\u094d\u0924\u093f\u092f\u094b\u0902 \u0915\u094b \u090f\u0915 \u091f\u0947\u092c\u0941\u0932 \u0915\u0947 \u091a\u093e\u0930\u094b\u0902 \u0913\u0930 \u092c\u0948\u0920\u093e\u0928\u0947 \u0915\u093e \u0924\u0930\u0940\u0915\u093e =(10-1)!=9!<\/p>\n\n\n\n

(ii) 5 \u0932\u0921\u093c\u0915\u094b\u0902 \u0915\u0940 \u090f\u0915 \u091f\u0947\u092c\u0941\u0932 \u0915\u0947 \u091a\u093e\u0930\u094b\u0902 \u0913\u0930 \u092c\u0948\u0920\u093e\u0928\u0947 \u0915\u093e \u0924\u0930\u0940\u0915\u093e =(5-1)!=4!<\/p>\n\n\n\n

\"\"\/<\/a><\/figure>\n\n\n\n

5 ‘X’ \u0938\u094d\u0925\u093e\u0928\u094b\u0902 \u092a\u0930 5 \u0932\u0921\u093c\u0915\u093f\u092f\u094b\u0902 \u0915\u094b \u092c\u0948\u0920\u093e\u0928\u0947 \u0915\u093e \u0924\u0930\u0940\u0915\u093e $=^5P_5$=5!<\/p>\n\n\n\n

\u0915\u0941\u0932 \u0905\u092d\u093f\u0937\u094d\u091f \u0924\u0930\u0940\u0915\u093e =4!5!<\/p>\n\n\n\n

Question 3<\/h4>\n\n\n\n

\u090f\u0915 \u0915\u0915\u094d\u0937\u093e \u092e\u0947\u0902 6 \u0932\u0921\u093c\u0915\u0947 \u0914\u0930 4 \u0932\u0921\u093c\u0915\u093f\u092f\u093e\u0901 \u0939\u0948 \u0964 \u090f\u0915 \u091f\u0947\u092c\u0941\u0932 \u0915\u0947 \u091a\u093e\u0930\u094b\u0902 \u0924\u0930\u092b \u0909\u0928\u094d\u0939\u0947\u0902 \u0915\u093f\u0924\u0928\u0947 \u0924\u0930\u0940\u0915\u094b\u0902 \u0938\u0947 \u092c\u0948\u0920\u093e\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948 \u0924\u094b \u0938\u092d\u0940 4 \u0932\u0921\u093c\u0915\u093f\u092f\u093e\u0901 \u090f\u0915 \u0938\u093e\u0925 \u092c\u0948\u0920\u0947?<\/strong><\/h4>\n\n\n\n

[In a class of students there are 6 boys and 4 girls. In how many ways can they be seated around a table so that al the 4 girls sit together?]<\/strong><\/p>\n\n\n\n

Sol :
\u0915\u0941\u0932 \u091b\u093e\u0924\u094d\u0930\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e=6+4=10<\/p>\n\n\n\n

4 \u0932\u0921\u093c\u0915\u093f\u092f\u094b\u0902 \u0915\u094b \u090f\u0915 \u091b\u093e\u0924\u094d\u0930 \u092e\u093e\u0928\u0928\u0947 \u092a\u0930 , \u0915\u0941\u0932 \u091b\u093e\u0924\u094d\u0930\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e=10-4+1
=7<\/p>\n\n\n\n

7 \u091b\u093e\u0924\u094d\u0930\u094b\u0902 \u0915\u094b \u090f\u0915 \u091f\u0947\u092c\u0941\u0932 \u0915\u0947 \u091a\u093e\u0930\u094b\u0902 \u0913\u0930 \u092c\u0948\u0920\u093e\u0928\u0947 \u0915\u093e \u0924\u0930\u0940\u0915\u093e=(7-1)!
=6!<\/p>\n\n\n\n

4 \u0932\u0921\u093c\u0915\u093f\u092f\u094b\u0902 \u0915\u094b \u0906\u092a\u0938 \u092e\u0947\u0902 \u092c\u0948\u0920\u093e\u0928\u0947 \u0915\u093e \u0924\u0930\u0940\u0915\u093e=4!
\u2234\u0915\u0941\u0932 \u0905\u092d\u093f\u0937\u094d\u091f \u0924\u0930\u0940\u0915\u093e=6!4!<\/p>\n\n\n\n

Question 4<\/h4>\n\n\n\n

5 \u0932\u0921\u093c\u0915\u094b\u0902 \u0914\u0930 5 \u0932\u0921\u093c\u0915\u093f\u092f\u093e\u0901 \u090f\u0915\u093e\u0928\u094d\u0924\u0930 \u0915\u094d\u0930\u092e \u092e\u0947\u0902 \u0930\u0939\u0915\u0930 \u090f\u0915 \u092a\u0902\u0915\u094d\u0924\u093f \u092c\u0928\u093e\u0924\u0947 \u0939\u0948\u0902\u0964 \u092a\u0902\u0915\u094d\u0924\u093f \u092c\u0928\u093e\u0928\u0947 \u0915\u0947 \u0924\u0930\u0940\u0915\u094b\u0902 \u0915\u093e \u0938\u0902\u0916\u094d\u092f\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f\u0964 \u0915\u093f\u0924\u0928\u0947 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0924\u0930\u0940\u0915\u094b\u0902 \u0938\u0947 \u0935\u0947 \u090f\u0915 \u0910\u0938\u093e \u0935\u0943\u0924 \u092c\u0928\u093e \u0938\u0915\u0924\u0947 \u0939\u0948 \u091c\u093f\u0938\u092e\u0947\u0902 \u0932\u0921\u093c\u0915\u0947 \u0914\u0930 \u0932\u0921\u093c\u0915\u093f\u092f\u093e\u0901 \u090f\u0915\u093e\u0928\u094d\u0924\u0930 \u0939\u094b\u0902 ?<\/strong><\/p>\n\n\n\n

[Five boys and five girls form a line with the boys and girls alternating . Find the number of ways of making the ine. In how many different ways could they form a circle such that the boys and girls are alternate?]<\/strong><\/p>\n\n\n\n

Sol :<\/p>\n\n\n\n

(i) 5 \u0932\u0921\u093c\u0915\u094b\u0902 \u0915\u094b \u090f\u0915 \u092a\u0902\u0915\u094d\u0924\u093f \u092e\u0947\u0902 \u092c\u0948\u0920\u093e\u0928\u0947 \u0915\u093e \u0924\u0930\u0940\u0915\u093e=5!<\/p>\n\n\n\n

5 \u0932\u0921\u093c\u0915\u093f\u092f\u094b\u0902 \u0915\u094b \u090f\u0915 \u092a\u0902\u0915\u094d\u0924\u093f \u092e\u0947\u0902 \u092c\u0948\u0920\u093e\u0928\u0947 \u0915\u093e \u0924\u0930\u0940\u0915\u093e=5!<\/p>\n\n\n\n

\u2234\u0915\u0941\u0932 \u0905\u092d\u093f\u0937\u094d\u091f \u0924\u0930\u0940\u0915\u093e = 2\u00d75!\u00d75!<\/p>\n\n\n\n

(ii) 5 \u0932\u0921\u093c\u0915\u094b\u0902 \u0915\u094b \u0935\u0943\u0924\u094d\u0924\u0940\u092f \u092a\u0925 \u092a\u0930 \u092c\u0948\u0920\u093e\u0928\u0947 \u0915\u093e \u0924\u0930\u0940\u0915\u093e =(5-1)!=4!<\/p>\n\n\n\n

\"\"\/<\/a><\/figure>\n\n\n\n

5 ‘X’ \u0938\u094d\u0925\u093e\u0928\u094b\u0902 \u092a\u0930 5 \u0932\u0921\u093c\u0915\u093f\u092f\u094b\u0902 \u0915\u094b \u092c\u0948\u0920\u093e\u0928\u0947 \u0915\u093e \u0924\u0930\u0940\u0915\u093e $=^5P_5=5!$<\/p>\n\n\n\n

\u2234\u0915\u0941\u0932 \u0905\u092d\u093f\u0937\u094d\u091f \u0924\u0930\u0940\u0915\u093e =4!5!<\/p>\n\n\n\n

Question 5<\/h4>\n\n\n\n

6 \u0932\u0921\u093c\u0915\u0947 \u0914\u0930 5 \u0932\u0921\u093c\u0915\u093f\u092f\u093e\u0901 \u090f\u0915 \u0917\u094b\u0932 \u091f\u0947\u092c\u0941\u0932 \u0915\u0947 \u091a\u093e\u0930\u094b\u0902 \u0924\u0930\u092b \u0915\u093f\u0924\u0928\u0947 \u0924\u0930\u0940\u0915\u094b\u0902 \u0938\u0947 \u092c\u0948\u0920 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902 \u091c\u092c\u0915\u093f \u0926\u094b \u0932\u0921\u093c\u0915\u093f\u092f\u093e\u0901 \u090f\u0915 \u0926\u0942\u0938\u0930\u0947 \u0915\u0947 \u092c\u093e\u0926 \u0928\u0939\u0940\u0902 \u092c\u0948\u0920\u0947\u0902?<\/strong><\/p>\n\n\n\n

[In how many ways 6 boys and 5 girls can sit at a round table when no two girls sit next to each other]<\/strong><\/p>\n\n\n\n

Sol :<\/p>\n\n\n\n

6 \u0932\u0921\u093c\u0915\u094b\u0902 \u0915\u094b \u090f\u0915 \u0917\u094b\u0932 \u091f\u0947\u092c\u0941\u0932 \u0915\u0947 \u091a\u093e\u0930\u094b\u0902 \u0913\u0930 \u092c\u0948\u0920\u093e\u0928\u0947 \u0915\u093e \u0924\u0930\u0940\u0915\u093e =(6-1)!<\/p>\n\n\n\n

=5!<\/p>\n\n\n\n

\"\"\/<\/a><\/figure>\n\n\n\n

6 ‘X’ \u0938\u094d\u0925\u093e\u0928\u094b\u0902 \u092a\u0930 , 5 \u0932\u0921\u093c\u0915\u093f\u092f\u094b\u0902 \u0915\u094b \u092c\u0948\u0920\u093e\u0928\u0947 \u0915\u093e \u0924\u0930\u0940\u0915\u093e$=^6P_5$<\/p>\n\n\n\n

\u2234\u0915\u0941\u0932 \u0905\u092d\u093f\u0937\u094d\u091f \u0924\u0930\u0940\u0915\u093e$=5! \\times ^{6}P_5$<\/p>\n\n\n\n

Question 6<\/h4>\n\n\n\n

\u090f\u0915 \u0939\u093e\u0930 \u092c\u0928\u093e\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f 30 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u092e\u094b\u0924\u093f\u092f\u094b\u0902 \u0915\u094b \u0915\u093f\u0924\u0928\u0947 \u0924\u0930\u0940\u0915\u094b\u0902 \u0938\u0947 \u0938\u091c\u093e\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948 ?<\/strong><\/p>\n\n\n\n

[In how many ways can 30 different pearls be arranged to form a necklace]<\/strong><\/p>\n\n\n\n

Sol :
\u090f\u0915 \u0939\u093e\u0930 \u092c\u0928\u093e\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f 30 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u092e\u094b\u0924\u093f\u092f\u094b\u0902 \u0915\u094b \u0938\u091c\u093e\u0928\u0947 \u0915\u093e \u0924\u0930\u0940\u0915\u093e$=\\frac{1}{2}(30-1)!$
$=\\frac{29!}{2}$<\/p>\n\n\n\n

Question 7<\/h4>\n\n\n\n

20 \u0926\u0947\u0936\u094b\u0902 \u0915\u0947 20 \u092a\u094d\u0930\u0924\u093f\u0928\u093f\u0927\u093f\u092f\u094b\u0902 \u0915\u0947 \u090f\u0915 \u0917\u094b\u0932 \u092e\u0947\u091c \u0938\u092d\u093e \u0939\u094b\u0928\u0947 \u0935\u093e\u0932\u093e \u0939\u0948 \u0964 \u0915\u093f\u0924\u0928\u0947 \u0924\u0930\u0940\u0915\u094b\u0902 \u0938\u0947 \u0909\u0928\u094d\u0939\u0947\u0902 \u0914\u0930 \u092e\u0947\u091c\u092c\u093e\u0928 \u0915\u094b \u092c\u0948\u0920\u093e\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948 \u092f\u0926\u093f \u0935\u093f\u0936\u0947\u0937 \u092a\u094d\u0930\u0924\u093f\u0928\u093f\u0927\u093f\u092f\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0915\u094b \u092e\u0947\u091c\u092c\u093e\u0928 \u0915\u0947 \u0905\u0917\u0932-\u092c\u0917\u0932 \u092c\u0948\u0920\u0928\u093e \u0939\u0948 ?<\/strong><\/p>\n\n\n\n

[A round table conference is to be held between 20 delegates of 20 countries. In how many ways can they and the host be seated if two particular delegates are always to sit one either side of the host]
<\/strong> Sol :
2 \u0935\u093f\u0936\u0947\u0937 \u092a\u094d\u0930\u0924\u093f\u0928\u093f\u0927\u093f\u092f\u094b\u0902 \u0915\u094b \u090f\u0915 \u0935\u094d\u092f\u0915\u094d\u0924\u093f \u092e\u093e\u0928\u0928\u0947 \u092a\u0930 \u0915\u0941\u0932 \u0935\u094d\u092f\u0915\u094d\u0924\u093f\u092f\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e=20-2+1
=19<\/p>\n\n\n\n

19 \u0935\u094d\u092f\u0915\u094d\u0924\u093f\u092f\u094b\u0902 \u0915\u094b \u090f\u0915 \u0917\u094b\u0932 \u092e\u0947\u091c \u0915\u0947 \u091a\u093e\u0930\u094b\u0902 \u0913\u0930 \u092c\u0948\u0920\u093e\u0928\u0947 \u0915\u093e \u0924\u0930\u0940\u0915\u093e=(19-1)!
=18!<\/p>\n\n\n\n

2 \u0935\u093f\u0936\u0947\u0937 \u092a\u094d\u0930\u0924\u093f\u0928\u093f\u0927\u093f\u092f\u094b\u0902 \u0915\u094b \u0906\u092a\u0938 \u092e\u0947\u0902 \u092c\u0948\u0920\u093e\u0928\u0947 \u0915\u093e \u0924\u0930\u0940\u0915\u093e=2!
\u2234 \u0915\u0941\u0932 \u0905\u092d\u093f\u0937\u094d\u091f \u0924\u0930\u0940\u0915\u093e=18!2!<\/p>\n\n\n\n

Question 8<\/h4>\n\n\n\n

\u091a\u093e\u0930 \u092d\u0926\u094d\u0930 \u092a\u0941\u0930\u0941\u0937 \u0914\u0930 \u091a\u093e\u0930 \u092e\u0939\u093f\u0932\u093e\u0913\u0902 \u0915\u094b \u090f\u0915 \u092a\u093e\u0930\u094d\u091f\u0940 \u092e\u0947\u0902 \u0906\u092e\u0902\u0924\u094d\u0930\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0964 \u090f\u0915 \u091f\u0947\u092c\u0941\u0932 \u0915\u0947 \u091a\u093e\u0930\u094b\u0902 \u0924\u0930\u092b \u0909\u0928\u0915\u0947 \u092c\u0948\u0920\u0928\u0947 \u0915\u0947 \u0924\u0930\u0940\u0915\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f \u0924\u093e\u0915\u093f \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092d\u0926\u094d\u0930 \u092a\u0941\u0930\u0941\u0937 \u0915\u0947 \u0926\u094b\u0928\u094b\u0902 \u0924\u0930\u092b \u092e\u0939\u093f\u0932\u093e\u090f\u0901 \u092c\u0948\u0920 \u0938\u0915\u0947\u0902\u0964<\/strong><\/p>\n\n\n\n

[Four gentlemen and four ladies are invited to a certain party. Find the number of ways of seating them around a table so that only ladies are seated on the two sides of each gentlemen]<\/strong><\/p>\n\n\n\n

Sol :<\/p>\n\n\n\n

4  \u092d\u0926\u094d\u0930 \u092a\u0941\u0930\u0941\u0937\u094b\u0902 \u0915\u094b \u090f\u0915 \u092e\u0947\u091c \u0915\u0947 \u091a\u093e\u0930\u094b\u0902 \u0913\u0930 \u092c\u0948\u0920\u093e\u0928\u0947 \u0915\u093e \u0924\u0930\u0940\u0915\u093e =(4-1)!=3!<\/p>\n\n\n\n

\"\"\/<\/a><\/figure>\n\n\n\n

4 ‘X’ \u0938\u094d\u0925\u093e\u0928\u094b\u0902 \u092a\u0930 4 \u092e\u0939\u093f\u0932\u093e\u0913\u0902 \u0915\u094b \u092c\u0948\u0920\u093e\u0928\u0947\u0902 \u0915\u093e \u0924\u0930\u0940\u0915\u093e$=^4P_4=4!$<\/p>\n\n\n\n

\u2234\u0915\u0941\u0932 \u0905\u092d\u093f\u0937\u094d\u091f \u0924\u0930\u0940\u0915\u093e=3!4!<\/p>\n\n\n\n

=6\u00d724=144<\/p>\n\n\n\n

Question 9<\/h4>\n\n\n\n

7 \u0905\u0902\u0917\u094d\u0930\u0947\u091c \u0914\u0930 6 \u092d\u093e\u0930\u0924\u0940\u092f\u094b\u0902 \u0915\u094b \u090f\u0915 \u0917\u094b\u0932 \u092e\u0947\u091c \u0915\u0947 \u091a\u093e\u0930\u094b\u0902 \u0913\u0930 \u0915\u093f\u0924\u0928\u0947 \u0924\u0930\u0940\u0915\u094b\u0902 \u0938\u0947 \u092c\u0948\u0920\u093e\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948 \u0924\u093e\u0915\u093f \u0926\u094b \u092d\u093e\u0930\u0924\u0940\u092f \u090f\u0915 \u0938\u093e\u0925 \u0928\u0939\u0940\u0902 \u0930\u0939\u0947?<\/strong><\/p>\n\n\n\n

[In how many ways can 7 Englishmen and 6 Indians sit down around a table so that no two Indians are together?]<\/strong><\/p>\n\n\n\n

Sol :<\/p>\n\n\n\n

Question 10<\/h4>\n\n\n\n

7 \u0939\u0921\u093c\u0915\u093f\u092f\u093e\u0901 \u0917\u094b\u0932\u093e\u0915\u093e\u0930 \u092c\u0928\u093e\u0924\u0947 \u0939\u0941\u090f \u0928\u093e\u091a \u0930\u0939\u0940 \u0939\u0948\u0902\u0964 \u0915\u093f\u0924\u0928\u0947 \u0924\u0930\u0940\u0915\u094b\u0902 \u0938\u0947 \u0935\u0947 \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0916\u0921\u093c\u0940 \u0939\u094b \u0938\u0915\u0924\u0940 \u0939\u0948\u0902?<\/strong><\/p>\n\n\n\n

[Seven girls forming around are dancing. In how many ways can they stand in the circle ?]<\/strong><\/p>\n\n\n\n

Sol :<\/p>\n\n\n\n

Question 11<\/h4>\n\n\n\n

\u090f\u0915 \u0917\u094b\u0932 \u092e\u0947\u091c \u0915\u0947 \u091a\u093e\u0930\u094b\u0902 \u0924\u0930\u092b 7 \u0935\u094d\u092f\u0915\u094d\u0924\u093f\u092f\u094b\u0902 \u0915\u094b \u0915\u093f\u0924\u0928\u0947 \u0924\u0930\u0940\u0915\u094b\u0902 \u0938\u0947 \u092c\u0948\u0920\u093e\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948 \u0924\u093e\u0915\u093f \u0915\u093f\u0928\u094d\u0939\u0940\u0902 \u0926\u094b \u0938\u091c\u093e\u0935\u091f \u092e\u0947\u0902 \u0938\u092d\u0940 \u0915\u094b \u090f\u0915 \u092a\u0921\u093c\u094b\u0938\u0940 \u0928 \u0939\u094b\u0964<\/strong><\/p>\n\n\n\n

Sol :<\/p>\n\n\n\n

\u2234\u0915\u0941\u0932 \u0915\u094d\u0930\u092e\u091a\u092f\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e$=\\frac{1}{2}(7-1)!$<\/p>\n\n\n\n

$=\\frac{1}{2}\\times 6!$<\/p>\n\n\n\n

$=\\frac{1}{2}\\times 720$<\/p>\n\n\n\n

=360<\/p>\n\n\n\n

\n
KC Sinha Solutions<\/a><\/div>\n\n\n\n
KC Sinha Class 11 Solutions<\/a><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Question 1 \u0915\u093f\u0924\u0928\u0947 \u0924\u0930\u0940\u0915\u094b\u0902 \u0938\u0947 5 \u0935\u094d\u092f\u0915\u094d\u0924\u093f \u090f\u0915 \u091f\u0947\u092c\u0941\u0932 \u0915\u0947 \u091a\u093e\u0930\u094b\u0902 \u0913\u0930 \u092c\u0948\u0920 \u0938\u0915\u0924\u0947 \u0939\u0948 ?[In how many ways can 5 men sit around a table] Sol :5 \u0935\u094d\u092f\u0915\u094d\u0924\u093f\u092f\u094b\u0902 \u0915\u094b \u090f\u0915 \u091f\u0947\u092c\u0941\u0932 \u0915\u0947 \u091a\u093e\u0930\u094b\u0902 \u0913\u0930 \u092c\u0948\u0920\u093e\u0928\u0947 \u0915\u093e \u0924\u0930\u0940\u0915\u093e=(5-1)!=4!=24 Question 2 5 \u0932\u0921\u093c\u0915\u0947 \u0914\u0930 5 \u0932\u0921\u093c\u0915\u093f\u092f\u093e\u0901 \u090f\u0915 \u091f\u0947\u092c\u0941\u0932 \u0915\u0947 \u091a\u093e\u0930\u094b\u0902 \u0924\u0930\u092b \u0915\u093f\u0924\u0928\u0947 \u0924\u0930\u0940\u0915\u0947 \u0938\u0947 \u092c\u0948\u0920 \u0938\u0915\u0924\u0947 […]<\/p>\n","protected":false},"author":302,"featured_media":625919,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"newspack_featured_image_position":"","newspack_post_subtitle":"","newspack_article_summary_title":"Overview:","newspack_article_summary":"","newspack_hide_updated_date":false,"newspack_show_updated_date":false,"footnotes":""},"categories":[919],"tags":[],"boards":[],"class_list":["post-625990","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-class-11","entry"],"yoast_head":"\nKC Sinha: Exercise 13.6 - Mathematics Solution Class 11 Chapter 13 \u0915\u094d\u0930\u092e\u091a\u092f \u0914\u0930 \u0938\u0902\u091a\u092f - IndCareer Schools<\/title>\n<meta name=\"description\" content=\"Question 1 \u0915\u093f\u0924\u0928\u0947 \u0924\u0930\u0940\u0915\u094b\u0902 \u0938\u0947 5 \u0935\u094d\u092f\u0915\u094d\u0924\u093f \u090f\u0915 \u091f\u0947\u092c\u0941\u0932 \u0915\u0947 \u091a\u093e\u0930\u094b\u0902 \u0913\u0930 \u092c\u0948\u0920 \u0938\u0915\u0924\u0947 \u0939\u0948 ? Sol :5 \u0935\u094d\u092f\u0915\u094d\u0924\u093f\u092f\u094b\u0902 \u0915\u094b \u090f\u0915 \u091f\u0947\u092c\u0941\u0932 \u0915\u0947 \u091a\u093e\u0930\u094b\u0902 \u0913\u0930 \u092c\u0948\u0920\u093e\u0928\u0947 \u0915\u093e \u0924\u0930\u0940\u0915\u093e=(5-1)!=4!=24 Question 2\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-13-6-mathematics-solution-class-11-chapter-13-kramachay-aur-sanchay\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"KC Sinha: Exercise 13.6 - Mathematics Solution Class 11 Chapter 13 \u0915\u094d\u0930\u092e\u091a\u092f \u0914\u0930 \u0938\u0902\u091a\u092f\" \/>\n<meta property=\"og:description\" content=\"Question 1 \u0915\u093f\u0924\u0928\u0947 \u0924\u0930\u0940\u0915\u094b\u0902 \u0938\u0947 5 \u0935\u094d\u092f\u0915\u094d\u0924\u093f \u090f\u0915 \u091f\u0947\u092c\u0941\u0932 \u0915\u0947 \u091a\u093e\u0930\u094b\u0902 \u0913\u0930 \u092c\u0948\u0920 \u0938\u0915\u0924\u0947 \u0939\u0948 ? Sol :5 \u0935\u094d\u092f\u0915\u094d\u0924\u093f\u092f\u094b\u0902 \u0915\u094b \u090f\u0915 \u091f\u0947\u092c\u0941\u0932 \u0915\u0947 \u091a\u093e\u0930\u094b\u0902 \u0913\u0930 \u092c\u0948\u0920\u093e\u0928\u0947 \u0915\u093e \u0924\u0930\u0940\u0915\u093e=(5-1)!=4!=24 Question 2\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-13-6-mathematics-solution-class-11-chapter-13-kramachay-aur-sanchay\/\" \/>\n<meta property=\"og:site_name\" content=\"IndCareer Schools\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/indcareer\" \/>\n<meta property=\"article:published_time\" content=\"2023-09-08T12:23:42+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2023-09-08T12:23:48+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2023\/09\/indcareer-schools-2-14-1-scaled.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1600\" \/>\n\t<meta property=\"og:image:height\" content=\"901\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"Pooja\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@indcareer\" \/>\n<meta name=\"twitter:site\" content=\"@indcareer\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Pooja\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"5 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-13-6-mathematics-solution-class-11-chapter-13-kramachay-aur-sanchay\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-13-6-mathematics-solution-class-11-chapter-13-kramachay-aur-sanchay\/\"},\"author\":{\"name\":\"Pooja\",\"@id\":\"https:\/\/www.indcareer.com\/schools\/#\/schema\/person\/d6945cf059726f162259ba738092301e\"},\"headline\":\"KC Sinha: Exercise 13.6 – Mathematics Solution Class 11 Chapter 13 \u0915\u094d\u0930\u092e\u091a\u092f \u0914\u0930 \u0938\u0902\u091a\u092f\",\"datePublished\":\"2023-09-08T12:23:42+00:00\",\"dateModified\":\"2023-09-08T12:23:48+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-13-6-mathematics-solution-class-11-chapter-13-kramachay-aur-sanchay\/\"},\"wordCount\":323,\"publisher\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/#organization\"},\"image\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-13-6-mathematics-solution-class-11-chapter-13-kramachay-aur-sanchay\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2023\/09\/indcareer-schools-2-14-1-scaled.jpg\",\"articleSection\":[\"class 11\"],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-13-6-mathematics-solution-class-11-chapter-13-kramachay-aur-sanchay\/\",\"url\":\"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-13-6-mathematics-solution-class-11-chapter-13-kramachay-aur-sanchay\/\",\"name\":\"KC Sinha: Exercise 13.6 - Mathematics Solution Class 11 Chapter 13 \u0915\u094d\u0930\u092e\u091a\u092f \u0914\u0930 \u0938\u0902\u091a\u092f - IndCareer Schools\",\"isPartOf\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-13-6-mathematics-solution-class-11-chapter-13-kramachay-aur-sanchay\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-13-6-mathematics-solution-class-11-chapter-13-kramachay-aur-sanchay\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2023\/09\/indcareer-schools-2-14-1-scaled.jpg\",\"datePublished\":\"2023-09-08T12:23:42+00:00\",\"dateModified\":\"2023-09-08T12:23:48+00:00\",\"description\":\"Question 1 \u0915\u093f\u0924\u0928\u0947 \u0924\u0930\u0940\u0915\u094b\u0902 \u0938\u0947 5 \u0935\u094d\u092f\u0915\u094d\u0924\u093f \u090f\u0915 \u091f\u0947\u092c\u0941\u0932 \u0915\u0947 \u091a\u093e\u0930\u094b\u0902 \u0913\u0930 \u092c\u0948\u0920 \u0938\u0915\u0924\u0947 \u0939\u0948 ? Sol :5 \u0935\u094d\u092f\u0915\u094d\u0924\u093f\u092f\u094b\u0902 \u0915\u094b \u090f\u0915 \u091f\u0947\u092c\u0941\u0932 \u0915\u0947 \u091a\u093e\u0930\u094b\u0902 \u0913\u0930 \u092c\u0948\u0920\u093e\u0928\u0947 \u0915\u093e \u0924\u0930\u0940\u0915\u093e=(5-1)!=4!=24 Question 2\",\"breadcrumb\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-13-6-mathematics-solution-class-11-chapter-13-kramachay-aur-sanchay\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-13-6-mathematics-solution-class-11-chapter-13-kramachay-aur-sanchay\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-13-6-mathematics-solution-class-11-chapter-13-kramachay-aur-sanchay\/#primaryimage\",\"url\":\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2023\/09\/indcareer-schools-2-14-1-scaled.jpg\",\"contentUrl\":\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2023\/09\/indcareer-schools-2-14-1-scaled.jpg\",\"width\":1600,\"height\":901,\"caption\":\"KC Sinha: Exercise 13.8 - Mathematics Solution Class 11 Chapter 13 \u0915\u094d\u0930\u092e\u091a\u092f \u0914\u0930 \u0938\u0902\u091a\u092f\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-13-6-mathematics-solution-class-11-chapter-13-kramachay-aur-sanchay\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/www.indcareer.com\/schools\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"class 11\",\"item\":\"https:\/\/www.indcareer.com\/schools\/class-11\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"KC Sinha: Exercise 13.6 – Mathematics Solution Class 11 Chapter 13 \u0915\u094d\u0930\u092e\u091a\u092f \u0914\u0930 \u0938\u0902\u091a\u092f\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.indcareer.com\/schools\/#website\",\"url\":\"https:\/\/www.indcareer.com\/schools\/\",\"name\":\"IndCareer Schools\",\"description\":\"School Admissions & Notices\",\"publisher\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.indcareer.com\/schools\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/www.indcareer.com\/schools\/#organization\",\"name\":\"IndCareer\",\"url\":\"https:\/\/www.indcareer.com\/schools\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/www.indcareer.com\/schools\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/06\/indcareer-logo2.png\",\"contentUrl\":\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/06\/indcareer-logo2.png\",\"width\":512,\"height\":250,\"caption\":\"IndCareer\"},\"image\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/#\/schema\/logo\/image\/\"},\"sameAs\":[\"https:\/\/www.facebook.com\/indcareer\",\"https:\/\/x.com\/indcareer\",\"https:\/\/www.youtube.com\/channel\/UC1liU3RZoBRuu8YcAuZMsOQ\"],\"email\":\"info@ebharat.in\",\"legalName\":\"IndCareer\",\"numberOfEmployees\":{\"@type\":\"QuantitativeValue\",\"minValue\":\"1\",\"maxValue\":\"10\"}},{\"@type\":\"Person\",\"@id\":\"https:\/\/www.indcareer.com\/schools\/#\/schema\/person\/d6945cf059726f162259ba738092301e\",\"name\":\"Pooja\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/www.indcareer.com\/schools\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/350f7cfdfb6a23bcab67b56b5e77549db2a13b5d23e63175ac5bd07b5d44b720?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/350f7cfdfb6a23bcab67b56b5e77549db2a13b5d23e63175ac5bd07b5d44b720?s=96&d=mm&r=g\",\"caption\":\"Pooja\"}}]}<\/script>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"KC Sinha: Exercise 13.6 - Mathematics Solution Class 11 Chapter 13 \u0915\u094d\u0930\u092e\u091a\u092f \u0914\u0930 \u0938\u0902\u091a\u092f - IndCareer Schools","description":"Question 1 \u0915\u093f\u0924\u0928\u0947 \u0924\u0930\u0940\u0915\u094b\u0902 \u0938\u0947 5 \u0935\u094d\u092f\u0915\u094d\u0924\u093f \u090f\u0915 \u091f\u0947\u092c\u0941\u0932 \u0915\u0947 \u091a\u093e\u0930\u094b\u0902 \u0913\u0930 \u092c\u0948\u0920 \u0938\u0915\u0924\u0947 \u0939\u0948 ? Sol :5 \u0935\u094d\u092f\u0915\u094d\u0924\u093f\u092f\u094b\u0902 \u0915\u094b \u090f\u0915 \u091f\u0947\u092c\u0941\u0932 \u0915\u0947 \u091a\u093e\u0930\u094b\u0902 \u0913\u0930 \u092c\u0948\u0920\u093e\u0928\u0947 \u0915\u093e \u0924\u0930\u0940\u0915\u093e=(5-1)!=4!=24 Question 2","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-13-6-mathematics-solution-class-11-chapter-13-kramachay-aur-sanchay\/","og_locale":"en_US","og_type":"article","og_title":"KC Sinha: Exercise 13.6 - Mathematics Solution Class 11 Chapter 13 \u0915\u094d\u0930\u092e\u091a\u092f \u0914\u0930 \u0938\u0902\u091a\u092f","og_description":"Question 1 \u0915\u093f\u0924\u0928\u0947 \u0924\u0930\u0940\u0915\u094b\u0902 \u0938\u0947 5 \u0935\u094d\u092f\u0915\u094d\u0924\u093f \u090f\u0915 \u091f\u0947\u092c\u0941\u0932 \u0915\u0947 \u091a\u093e\u0930\u094b\u0902 \u0913\u0930 \u092c\u0948\u0920 \u0938\u0915\u0924\u0947 \u0939\u0948 ? Sol :5 \u0935\u094d\u092f\u0915\u094d\u0924\u093f\u092f\u094b\u0902 \u0915\u094b \u090f\u0915 \u091f\u0947\u092c\u0941\u0932 \u0915\u0947 \u091a\u093e\u0930\u094b\u0902 \u0913\u0930 \u092c\u0948\u0920\u093e\u0928\u0947 \u0915\u093e \u0924\u0930\u0940\u0915\u093e=(5-1)!=4!=24 Question 2","og_url":"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-13-6-mathematics-solution-class-11-chapter-13-kramachay-aur-sanchay\/","og_site_name":"IndCareer Schools","article_publisher":"https:\/\/www.facebook.com\/indcareer","article_published_time":"2023-09-08T12:23:42+00:00","article_modified_time":"2023-09-08T12:23:48+00:00","og_image":[{"width":1600,"height":901,"url":"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2023\/09\/indcareer-schools-2-14-1-scaled.jpg","type":"image\/jpeg"}],"author":"Pooja","twitter_card":"summary_large_image","twitter_creator":"@indcareer","twitter_site":"@indcareer","twitter_misc":{"Written by":"Pooja","Est. reading time":"5 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-13-6-mathematics-solution-class-11-chapter-13-kramachay-aur-sanchay\/#article","isPartOf":{"@id":"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-13-6-mathematics-solution-class-11-chapter-13-kramachay-aur-sanchay\/"},"author":{"name":"Pooja","@id":"https:\/\/www.indcareer.com\/schools\/#\/schema\/person\/d6945cf059726f162259ba738092301e"},"headline":"KC Sinha: Exercise 13.6 – Mathematics Solution Class 11 Chapter 13 \u0915\u094d\u0930\u092e\u091a\u092f \u0914\u0930 \u0938\u0902\u091a\u092f","datePublished":"2023-09-08T12:23:42+00:00","dateModified":"2023-09-08T12:23:48+00:00","mainEntityOfPage":{"@id":"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-13-6-mathematics-solution-class-11-chapter-13-kramachay-aur-sanchay\/"},"wordCount":323,"publisher":{"@id":"https:\/\/www.indcareer.com\/schools\/#organization"},"image":{"@id":"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-13-6-mathematics-solution-class-11-chapter-13-kramachay-aur-sanchay\/#primaryimage"},"thumbnailUrl":"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2023\/09\/indcareer-schools-2-14-1-scaled.jpg","articleSection":["class 11"],"inLanguage":"en-US"},{"@type":"WebPage","@id":"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-13-6-mathematics-solution-class-11-chapter-13-kramachay-aur-sanchay\/","url":"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-13-6-mathematics-solution-class-11-chapter-13-kramachay-aur-sanchay\/","name":"KC Sinha: Exercise 13.6 - Mathematics Solution Class 11 Chapter 13 \u0915\u094d\u0930\u092e\u091a\u092f \u0914\u0930 \u0938\u0902\u091a\u092f - IndCareer Schools","isPartOf":{"@id":"https:\/\/www.indcareer.com\/schools\/#website"},"primaryImageOfPage":{"@id":"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-13-6-mathematics-solution-class-11-chapter-13-kramachay-aur-sanchay\/#primaryimage"},"image":{"@id":"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-13-6-mathematics-solution-class-11-chapter-13-kramachay-aur-sanchay\/#primaryimage"},"thumbnailUrl":"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2023\/09\/indcareer-schools-2-14-1-scaled.jpg","datePublished":"2023-09-08T12:23:42+00:00","dateModified":"2023-09-08T12:23:48+00:00","description":"Question 1 \u0915\u093f\u0924\u0928\u0947 \u0924\u0930\u0940\u0915\u094b\u0902 \u0938\u0947 5 \u0935\u094d\u092f\u0915\u094d\u0924\u093f \u090f\u0915 \u091f\u0947\u092c\u0941\u0932 \u0915\u0947 \u091a\u093e\u0930\u094b\u0902 \u0913\u0930 \u092c\u0948\u0920 \u0938\u0915\u0924\u0947 \u0939\u0948 ? Sol :5 \u0935\u094d\u092f\u0915\u094d\u0924\u093f\u092f\u094b\u0902 \u0915\u094b \u090f\u0915 \u091f\u0947\u092c\u0941\u0932 \u0915\u0947 \u091a\u093e\u0930\u094b\u0902 \u0913\u0930 \u092c\u0948\u0920\u093e\u0928\u0947 \u0915\u093e \u0924\u0930\u0940\u0915\u093e=(5-1)!=4!=24 Question 2","breadcrumb":{"@id":"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-13-6-mathematics-solution-class-11-chapter-13-kramachay-aur-sanchay\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-13-6-mathematics-solution-class-11-chapter-13-kramachay-aur-sanchay\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-13-6-mathematics-solution-class-11-chapter-13-kramachay-aur-sanchay\/#primaryimage","url":"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2023\/09\/indcareer-schools-2-14-1-scaled.jpg","contentUrl":"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2023\/09\/indcareer-schools-2-14-1-scaled.jpg","width":1600,"height":901,"caption":"KC Sinha: Exercise 13.8 - 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