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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

`((1000)!)/((50)!(950)!)`

B

`((1000)!)/((49)!(951)!)`

C

`((1001)!)/((51)!(950)!)`

D

`((1001)!)/((50)!(951)!)`

Text Solution

Verified by Experts

The correct Answer is:
D
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