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Question

Sum of coefficients of the last 6 terms in the expansion of (1+x)11 when the expansion is in ascending powers of x, is

A
2048
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B
32
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C
512
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D
64
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E
1024
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Solution

The correct option is E 1024
(1+x)=11r=0nCr(1)nr(x)r

last 6 terms of this expansion are

C11+C10+Cq+C8+C7+C6

using nCr+nCr+1=n+1Cr+1

=12C11+12C9+12C7

=12+220+792

=1024


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