BinomialCoefficient Command

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BinomialCoefficient[ <Number>, <Number> ]
Calculates the binomial coefficient \mathrm{\mathsf{ 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.


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.
Example:
BinomialCoefficient[n, 3] yields \mathrm{\mathsf{ \frac{n^{3} - 3 n^{2} + 2 n}{6} }}.
Note: See also NPr command.
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