BinomialCoefficient Command

This command is autocompleted in GeoGebra input line as command nCr(n, r).
BinomialCoefficient( <Number n>, <Number r> )

Calculates the binomial coefficient \( n \choose r \), i.e. it counts the number of ways to choose r objects out of n without repetitions (combinations).

BinomialCoefficient(5, 3) yields 10.

In the Menu view cas.svg CAS View it is possible to use variables as command arguments: in this case the command returns a formula for the binomial coefficient.

BinomialCoefficient(n, 3) yields \(\frac{n^3 - 3 n^2 + 2 n}{6}\).

See also nPr function.