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Question

Coefficient of x10 − Coefficient of x15 in (1+x+x2+x3)4(1−x)8 is

A
36
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B
52
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C
20
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D
16
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Solution

The correct option is B 20
(1+x+x3+x4)4(1x)8

=(1+x+x3+x4)4(1x)4(1x)4

=(14x4+6x84x12+x16)(14x+6x24x3+x4)

Coefficient of x10 Coefficient of x15

=6×616=20


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