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The coefficient of x^15 in the product ...

The coefficient of `x^15` in the product `(1-x)(1-2x) (1-2^2 x) (1-2^3 x)` …. `(1-2^15 x)` is : (a) `2^105 - 2^121` (b) `2^121 - 2^105` (c) `2^104 - 2^120` (d) `2^108 -2^110`

A

`2^(105)-^(121)`

B

`2^(121)-2^(105)`

C

`2^(120)-2^(104)`

D

none of these

Text Solution

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The correct Answer is:
A
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