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Suppose m and n are positive integers an...

Suppose `m and n` are positive integers and let `S=sum_(k=0)^n (-1)^k 1/(k+m+1) (nC_k) and T=sum_(k=0)^m(-1)^k 1(k+n+1) (mC_k)` then `S-T` is equal to

A

0

B

`n^(m)-m^(n)`

C

`(n+1)^(m)-(m+1)^(n)`

D

`(1-n)^(m)-(1-m)^(n)`

Text Solution

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The correct Answer is:
A
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