BinomialCoefficient Command

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.

BinomialCoefficient(5, 3) yields 10.

Note Hint: If your input in the Menu view cas.svg CAS View contains undefined variables, then this command yields a formula for the binomial coefficient.

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

See also NPr command.