Binomial coefficient formula for JEE

Formula

\[{n\choose r}=\frac{n!}{r!(n-r)!}\]

Variables: \(n\in\mathbb{N}\), \(r\) is an integer with \(0\le r\le n\).

Conditions: Defined for integers \(r\) in the stated range.

Computing coefficients in binomial expansions.