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Combinatorics

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Moderate

Coefficient in $(2a+b-3c)^5$

COMBIN-1VSGQG

What is the coefficient of $a^2bc^2$ in the expansion of:

$$(2a+b-3c)^5?$$

A

$0$

B

$243$

C

$1024$

D

$1080$

E

$7776$

F

none of the above