[JEE Advanced 1989] prove that binom m0 binom nk binom m1 binom n k 1 binom mk
Prove that $\binom m0\binom nk+\binom m1\binom n{k-1}+\cdots+\binom mk\binom n0=\binom{m+n}k$.
1 Answer
VAVidaara Admin
✓ Vidaara Team
✓ Accepted
· 2d ago
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Answer: Proved (Vandermonde's identity).
Comparing the coefficient of $x^k$ on both sides of $(1+x)^m(1+x)^n=(1+x)^{m+n}$ yields the identity.
JEE Advanced 1989 · Binomial Theorem — verified solution by the Vidaara Team.
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