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If C(0) , C(1) , C(2) ,…, C(n) are coef...

If `C_(0) , C_(1) , C_(2) ,…, C_(n) ` are coefficients in the
binomial expansion of `(1 + x)^(n)` and n is even , then
`C_(0)^(2)-C_(1)^(2)+C_(2)^(2)+C_(3)^(2)+...+ (-1)^(n)C_(n)""^(2) ` is equal to .

A

0 if n is odd

B

`(-1)^(n)` if n is odd

C

`(-1)^(n//2).^(n)C_(n//2)` if n is even

D

`(-1)^(n-1).^(n)C_(n-1)` if n is even

Text Solution

Verified by Experts

The correct Answer is:
A, C
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