Greatest Binomial Coefficient

Greatest Binomial Coefficient

## Formula

For the coefficients:

$${}^nC_0,{}^nC_1,\ldots,{}^nC_n$$

if $$n$$ is even, the greatest coefficient is:

$${}^nC_{n/2}$$

If $$n$$ is odd, the two greatest coefficients are:

$${}^nC_{(n-1)/2}={}^{n}C_{(n+1)/2}$$

## Usage

- Used to identify the greatest coefficient directly.