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

If ` (1 + x)^(n) = C_(0) = C_(1) x + C_(2) x^(2) + …+ C_(n) x^(n)` ,
find the values of the following
`underset(0leilt jlen)(sumsum)(i .j)C_(i)C_(j) `

A

`n^(2)[2^(2n-3)+1/2""^(2n-2)C_(n-1)]`

B

`[2^(2n-3)-1/2""^(2n-2)C_(n-1)]`

C

`n^(2)[2^(2n-3)-1/2""^(2n-2)C_(n-1)]`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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