# Symbols:Arithmetic and Algebra/Binomial Coefficient

## Binomial Coefficient

$\dbinom n m$

The binomial coefficient, which specifies the number of ways you can choose $m$ objects from $n$ (all objects being distinct).

Formally defined as:

$\dbinom n m = \begin {cases} \dfrac {n!} {m! \, \paren {n - m}!} & : m \le n \\ 0 & : m > n \end {cases}$

The $\LaTeX$ code for $\dbinom {n} {m}$ is \dbinom {n} {m}  or \ds {n} \choose {m}.