binomial - Maple Help

MapleTA[Builtin]

 binomial
 binomial coefficient

 Calling Sequence binomial(n, r)

Parameters

 n - numeric r - numeric

Description

 • 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.

Examples

 > $\mathrm{MapleTA}:-\mathrm{Builtin}:-\mathrm{binomial}\left(22,3\right)$
 ${1540}$ (1)

Compatibility

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