Class XI Chapter 7 – Permutation and Combination Maths ______________________________________________________________________________ Exercise 7.4 Question 1: n n If C8 C2 , find n C 2 Solution 1: It is known that, Therefore, n n C8 C2 n 8 2 10 n n C C a b or m a b a 10 10! 10! 1098! n C2 C2 45 2! 10 2 ! 2!8! 218! b Question 2: Determine n if (i) 2n C : C 12 :1 n 3 3 Solution 2: (i) C 2n 3 n C 3 12 1 2 n ! 3! n3 ! 12 3! 2n 3 ! n! 1 (ii) 2n C : C **11**:1 n 3 3 2n 2n 1 2n 2 2n 3 ! n 3 ! 12 2n 3 ! n n 1 n 2 n 3 ! 2 2n1 2n2 n1 n2 n n n1n2 4 2 1 1 2n 1 n 2 3 2n1 3 n 2 2n1 3n 6 3n 2n 1 6 n 5 12 12 Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

Class XI Chapter 7 – Permutation and Combination Maths ______________________________________________________________________________ (ii) 2n n C C 3 3 **11** 1 2 n ! 3! n 3 ! **11** 3! 2n 3 ! n! 2n 2n 1 2n 2 2n 3 ! n 3 ! 2n 3 ! n n 1 n 2 n 3 ! n n n1n2 2 2 1 2 2 n n n1n2 4 2 1 1 4 2n 1 n 2 **11** **11** **11** n n 4 2 1 **11** 2 8n 4 **11**n 22 **11**n 8n 4 22 3n 18 n 6 Question 3: How many chords can be drawn through 21 points on a circle? Solution 3: For drawing one chord a circle, only 2 points are required. To know the number of chords that can be drawn through the given 21 points on a circle, the number of combinations have to be counted. Therefore, there will be as many chords as there are combinations of 21 points taken 2 at a time. 21 21! 21! 2120 Thus, required number of chords C2 210 2! 21 2 ! 2!19! 2 Question 4: In how many ways can a team of 3 boys and 3 girls be selected from 5 boys and 4 girls? Solution 4: A team of 3 boys and 3 girls is to be selected from 5 boys and 4 girls. Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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Class XI Chapter 12 - Introduction

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