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Question

If C(2n,3):C(n,2) = 12:1, then n =

A
4
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B
5
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C
6
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D
8
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Solution

The correct option is A 5
We have,

C(2n,3):C(n,2)=12:1

2nC3nC2=121

2nC3=12 nC2

2n(2n1)(2n2)3!=12n(n1)2!

4(2n1)6=122

2n1=9

n=5

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