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If C(0), C(1), C(2), …, C(n) denote the ...

If `C_(0), C_(1), C_(2), …, C_(n)` denote the binomial coefficients
in the expansion of `(1 + x)^(n)`, then
`C_(0)""^(2) + 2 C_(1)""^(2) + 3C_(2)""^(2) + ...+ (n +1)C_(n)""^(2) =`

A

`(2n+1)^(2n)C_(n)`

B

`(2n-1) ""^(2n)C_(n)`

C

`((n)/(2) + 1) ""^(2n)C_(n)`

D

`((n)/(2) + 1) ""^(2n-1)C_(n)`

Text Solution

Verified by Experts

The correct Answer is:
C
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