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

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

A

`""^(100)C_(51)`

B

`""^(100)C_(52)`

C

`""^(_100)C_(53)`

D

`""^(100)C_(54)`

Verified by Experts

The correct Answer is:

C

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