| 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 = ^{2n}C_{n}

β = ^{2n-1}C_{n}

ϒ = ^{2n-1}C_{n-1}

β+ϒ = ^{2n-1}C_{n}+^{2n-1}C_{n-1} = ^{2n}C_{n} = α