The sum of the squares of binomial coefficients | general mathematics | intermediate level

Episode 130.

The sum of the squares of binomial coefficients | general mathematics | intermediate level.

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

Theorem. For any $n$, $k$, we have $\sum_{k=0}^{n}{\left(\binom{n}{k}\right)^2}=\binom{2n}{n}$.

Mathematics.
#Mathematics

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