[JEE Main 2005] the value of binom 50 4 sum r 1 6 binom 56 r 3
The value of $\binom{50}4+\sum_{r=1}^6\binom{56-r}3$ is
(a) $\binom{55}4$
(b) $\binom{55}3$
(c) $\binom{56}3$
(d) $\binom{56}4$
1 Answer
VAVidaara Admin
✓ Vidaara Team
✓ Accepted
· 2d ago
▲ 0
Correct answer: (d) $\binom{56}4$
Repeated Pascal merging ($\binom{50}4+\binom{50}3+\cdots+\binom{55}3$) telescopes to $\binom{56}4$.
JEE Main 2005 · Binomial Theorem — verified solution by the Vidaara Team.
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