AP ICET 2017 Shift 2 Paper

Question : 131 of 200

Marks: +1, -0

If the sum of the binomial coefficients in the expansion of

(a+b)^n

is 512 then the greatest binomial coefficient is

Solution:

512=2^9

So,

n=9

The greatest binomial coefficient is for the middle term which is the 5th term here.
Binomial coefficient for 5th term

=^{9}C_{4}={9!}/{5!4!}={9×8×7×6}/{4×3×2}=126

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