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If (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+….+C(n...

If `(1+x)^(n)=C_(0)+C_(1)x+C_(2)x^(2)+….+C_(n)x^(n)`, then the value of `sumsum_(0lerltslen)(r+s)(C_(r)+C_(s))` is :

A

`n^(2)*2^(n)-n/2[2^(2n)-""^(2n)C_(n)]`

B

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

C

`n^(2)*2^(n)+n/2[2^(2n)+""^(2n)C_(n)]`

D

None of these

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The correct Answer is:
B
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