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The coefficient of x^(n) in the polynomi...

The coefficient of `x^(n)` in the polynomial `(x+.^(n)C_(0))(x+3.^(n)C_(1))(x+5.^(n)C_(2))(x+7.^(n)C_(3)) . . .(x+(2n+1).^(n)C_(n))` is

A

`2^(n+1)`

B

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

C

`2^(2n-1)`

D

`2^(2n)`

Text Solution

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The correct Answer is:
D
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