The binomial command computes the rth binomial coefficient of degree n. This corresponds to the number of ways of choosing r objects from a set of n, ignoring order.

For example, binomial(22, 3) returns the coefficient of x^19 in (x+1)^22 or 1540.

$\mathrm{MapleTA}:-\mathrm{Builtin}:-\mathrm{binomial}\left(22\,3\right)$

$1540$

The MapleTA[Builtin][binomial] command was introduced in Maple 18.

For more information on Maple 18 changes, see Updates in Maple 18.