If the sum of the coefficient in the expansion of ${(x + y)}^{n}$ is 1024, then the value of the greatest coefficient in the expansion is

Question

Dr. Abubacker · Accepted Answer

(b)
Given sum of the coefficient $= 1024$
$ie,\ \ 2^{n} = 1024 = 2^{10}$
$\Longrightarrow n = 10$
Since, $n$ is even, so greatest coefficient
$= \ ^{n}C_{n/2} = \ ^{10}C_{5} = 252$

Q. If the sum of the coefficient in the expansion of ${(x + y)}^{n}$ is 1024, then the value of the greatest coefficient in the expansion is

Explanation

Reviewed by Dr. Abubacker

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