Find the coefficients of x^(50) in the e...

Find the coefficients of `x^(50)` in the expression `(1+x)^(1000)+2x(1+x)^(999)+3x^2(1+x)^(998)++1001 x^(1000)` .

A

`""^(1001)C_(50)`

B

`""^(1000)C_(50)`

C

`""^(1002)C_(50)`

D

`""^(1002)C_(51)`

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The correct Answer is:

C

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