Let the coefficient of the middle term of the binomial expansion of (1

| Let the coefficient of the middle term of the binomial expansion of (1 + x)2n be α and those of two middle terms of the binomial expansion of (1 + x)2n – 1 be β and γ. Which one of the following relations is correct?

A. α > β + γ

B. α < β + γ

C. α = β + γ

D. α = βγ

Right Answer is: C

SOLUTION

α = 2nCn

β = 2n-1Cn

ϒ = 2n-1Cn-1

β+ϒ = 2n-1Cn+2n-1Cn-1 = 2nCn = α

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