nCr Function

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

nCr( <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). As an alias, BinomialCoefficient(n, r) can be also used.

nCr(5, 3) yields 10.

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

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