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Question

The coefficient of x59 in the expansion of (1+x)40(x−1)20 is

A
0
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B
20
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C
20
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D
59
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Solution

The correct option is C 20
(1+x)40(x1)20=(1x2)20(1+x)20
So,the coefficient of x59 in the expansion of (1+x)40(x1)20
=20C20×20C19=20

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