Binomial Coefficient as a Polynomial

Binomial Coefficient as a Polynomial

## Formula

For fixed $$r$$:

$${}^nC_r=\frac{n(n-1)\cdots(n-r+1)}{r!}$$

Therefore, ${}^nC_r$ is a polynomial in $$n$$ of degree $$r$$.

## Usage

- Used in problems involving polynomial expressions represented through binomial coefficients.