# BinomialCoefficient Command

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##### Command Categories (All commands)

BinomialCoefficient( <Number>, <Number> )
Calculates the binomial coefficient n \choose r . The first Number represents all elements n and the second Number represents the selected elements r.
Example: BinomialCoefficient(5, 3) yields 10.

Hint: If your input in the CAS View contains undefined variables, then this command yields a formula for the binomial coefficient.
Example: BinomialCoefficient(n, 3) yields \frac{n^{3} - 3 n^{2} + 2 n}{6}.