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Coefficient of x^(2009) in (1+x+x^(2)+x^...

Coefficient of `x^(2009)` in `(1+x+x^(2)+x^(3)+x^(4)..........)^(1001)(1-x)^(1002)` is

A

a) 0

B

b) `4 cdot ""^(100)C_(501)`

C

c) `-2009`

D

d) None of these

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The correct Answer is:
A
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