Q. Median of ^{2n}$C$_{0}, ^{2n} $C$_{1}, ^{2n} $C$_{2}, ^{2n} $C$_{3},….., ^{2n} $C$_{n} (where $n$ is even) is
A) $\ ^{2n}C_{\frac{n}{2}}$
B) ${\ ^{2n}C}_{\frac{n + 1}{2}}$
C) $\ ^{2n}C_{\frac{n - 1}{2}}$
D) None of these
Explanation
(a)
$\ ^{2n}C_{0},\ ^{2n}C_{1},\ ^{2n}{C_{2,\ldots.,}^{\ }}^{2n}C_{n}\$are binomial coefficients which are in odd numbers (because n is even) and middle binomial coefficient is $\ ^{2n}C_{n/2}$which is required median.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.