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Find the coefficient of x4 in the binomial expansion ...

Find the coefficient of x4 in the binomial expansion of (12x)6.

A.

320

B.

240

C.

-320

D.

-240

Correct answer is B

(12x)6=6C0(16)+6C1(15)(2x1)+6C2(14)(2x2)+6C3(13)(2x3)+6C4(12)(2x4)+...

The coefficient ofx4=15×16=240