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Let n be a positive integer and (1+x)^...

Let n be a positive integer and
`(1+x)^(n)+C_(0)+C_(1)x+C_(2)x^(2)+C_(3)x^(3)+ . . .+C_(r)x^(r)+ . . .+C_(n-1)x^(n-1)+C_(n)x^(n)`
Where `C_(r)` stands for `.^(n)C_(r)`, then
Q. The value of `underset(r=0)overset(n)(sum)underset(s=0)overset(n)(sum),C_(r),C_(S)` is

A

`2^(2n)`

B

`n.2^(2n-1)`

C

`n.2^(n+1)`

D

`n(n-1).2^(n-2)`

Text Solution

Verified by Experts

The correct Answer is:
A
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