Vandermonde's identity about binomial coefficients | general mathematics | intermediate level

Episode 129.

Vandermonde's identity about binomial coefficients | general mathematics | intermediate level.

Branch of mathematics: general mathematics.
Difficulty level: intermediate.

Theorem (Vandermonde's identity). For any $m$, $n$, $k$, we have $\sum_{i+j=k}^{n}{\binom{m}{i}\binom{n}{j}}=\binom{m+n}{k}$.

Mathematics.
#Mathematics

The same video on YouTube:
https://youtu.be/CibZY0d8S4o

The same video on Telegram:
https://t.me/mathematical_bunker/154