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Question

If the coefficient of 5th term is numerically the greatest coefficient in the expansion of (1−x)n, then the positive integral value of n is

A
9
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B
8
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C
7
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D
10
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Solution

The correct option is B 8
Coefficient of middle term is numerically the greatest coefficient in the expansion of (1x)n or (1+x)n.
nCr is maximum at r=⎪ ⎪⎪ ⎪n2,if n is evenn12 or n+12,if n is odd

Given that coefficient of 5th term is the greatest, therefore 5th term is the middle term.
So, there are total 9 terms.
Hence, n=8

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