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Question

If (1+x)n=nr=0Crxr , then the coefficient x4 in the product of (1+x)n(1x)n is

A
C2
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B
C4
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C
C0
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D
C22
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Solution

The correct option is A C2
(1+x)n(1x)n
=(1x2)n
Writing the general term, we get
Tr+1=(1)rnCrx2r
Hence for the coefficient of x4
2r=4
r=2
Thus the coefficient is
nC2

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