[JEE Advanced 2002] $\sum_{i=0}^m\binom{10}i\binom{20}{m-i}$ (with $\binom pq=0$ if $p<q$) is maximum when $m$ equals
$\sum_{i=0}^m\binom{10}i\binom{20}{m-i}$ (with $\binom pq=0$ if $p<q$) is maximum when $m$ equals
(a) $5$
(b) $10$
(c) $15$
(d) $20$
1 Answer
VAVidaara Admin
✓ Vidaara Team
✓ Accepted
· 1mo ago
▲ 0
Correct answer: (c) $15$
By Vandermonde the sum is $\binom{30}m$, maximal at $m=15$.
JEE Advanced 2002 · Binomial Theorem — verified solution by the Vidaara Team.
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