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Questions  

 If (1+x)n=r=0nCrxr then 1+C1C01+C2C11+CnCn1 is equal to

a
nn−1(n−1)
b
(n+1)n−1(n−1)!
c
(n+1)nn!
d
(n+1)n+1n!

detailed solution

Correct option is C

We have 1+C1C01+C2C1⋯1+CnCn−1=1+n11+n(n−1)2!n⋯1+1n=(1+n)1⋅(1+n)2⋅(1+n)3…(1+n)n=(n+1)nn!

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