The coefficient of x^(53) in the followi...

The coefficient of `x^(53)` in the following expansion `sum_(m= 0)^(100) ""^(100)C_(m) (x-3)^(100-m).2^(m)` is
(a) `""^100 C_(47)`
(b.) `""^100 C_(53)`
(c.) `-""^100C_(53)`
(d.) none of these

A

`""^(100)C_(47)`

B

`""^(100)C_(53)`

C

`-""^(100)C_(53)`

D

`-""^(100)C_(100)`

Verified by Experts

The correct Answer is:

C

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