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The coefficient of x^(4) in the expansio...

The coefficient of `x^(4)` in the expansion of `(1+x+x^(2)+x^(3))^(n)` is

A

`""^(n)C_(4)`

B

`""^(n)C_(4) + ""^(n)C_(2)`

C

`""^(n)C_(4) + ""^(n)C_(2) + ""^(n)C_(4).""^(n)C_(2)`

D

`""^(n)C_(4) + ""^(n)C_(2) + ""^(n)C_(1).""^(n)C_(2)`

Text Solution

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The correct Answer is:
D
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