Symbols:Arithmetic and Algebra/Binomial Coefficent

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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:

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


The $\LaTeX$ code for \(\dbinom {n} {m}\) is \dbinom {n} {m}  or \displaystyle {n} \choose {m}.