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Q.

The Coefficient of xn in the expression of (1+x)(1+x)n is

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a

(1−n)

b

(−1)n(1−n)

c

(−1)n(1+n)

d

(1+n)

answer is D.

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Detailed Solution

(1+x)(1+x)n=(1+x)C0   n+C1   nx+C2   nx2+……..+Cn   nxn Coefficient of xn=Cn   n+Cn-1   n                            =1+C1   n∵Cr   n=Cn-r   n=1+n
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