ThmDex – An index of mathematical definitions, results, and conjectures.

Result R5671 on D2167: Binomial coefficient

Extreme values for binomial coefficient

Formulation 0

Let $n \in \mathbb{N}$ be a D996: Natural number.

Then

(1)	\begin{equation} \binom{n}{0} = 1 \end{equation}
(2)	\begin{equation} \binom{n}{n} = 1 \end{equation}