Q.

The sum of binomial coefficients of  2x+1xn is equal to 256. The constant term in the expansion is

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a

1210

b

1120

c

2110

d

None of these

answer is A.

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Detailed Solution

Sum of the given binomial coefficients is 256

2n=256n=8

2x+1x8

Tr+1=8Cr(2x)8r1xr

=8Cr28rx82r

For constant term, 82r=0r=4

Hence, constant term is  8C424=8!4!×4!×16=1120.

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