Symbols:Arithmetic and Algebra/Binomial Coefficient

Binomial Coefficent

 * $\dbinom n m$

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}$