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The value of the sum (.^(n)C(1))^(2)+(...

The value of the sum
`(.^(n)C_(1))^(2)+(.^(n)C_(2))^(2)+(.^(n)C_(3))^(2)+....+(.^(n)C_(n))^(2)` is -

A

`(.^(2n)C_(n))^(2)`

B

`.^(2n)C_(n)`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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