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Question

If 2n+1Pn1: 2n1Pn=3:5, then the value of n is :

A
5
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B
3
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C
6
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D
4
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Solution

The correct option is D 4
2n+1Pn1: 2n1Pn=3:5 2n+1Pn1 2n1Pn=35(2n+1)!(n+2)!×(n1)!(2n1)!=35(2n+1)×2n(n+2)(n+1)n=3510(2n+1)=3(n+2)(n+1)3n211n4=0(n4)(3n+1)=0n=4
(3n+1)0 as n can't be negative

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