The value of

MATHEMATICS · Single correct · CBSE · Mathematics · Binomial Theorem · Binomial Theorem

Problem

The value of

\binom{50}{0} \binom{50}{1} + \binom{50}{1} \binom{50}{2} + \dots + \binom{50}{49} \binom{50}{50}

, where

{}^n C_r = \binom{n}{r}

, is (1)

\binom{100}{50}

(2)

\binom{100}{51}

(3)

\binom{50}{25}

(4)

\binom{50}{2}