Difference between revisions of "BinomialCoefficient Command"

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;BinomialCoefficient[ <Number n>, <Number r>]
 
;BinomialCoefficient[ <Number n>, <Number r>]
 
:Calculates the binomial coefficient <math> n \choose r </math>. If you type undefined variables instead of numbers it yields a formula for the binomial coefficient.
 
:Calculates the binomial coefficient <math> n \choose r </math>. If you type undefined variables instead of numbers it yields a formula for the binomial coefficient.
:{{example|1=<div><code><nowiki>BinomialCoefficient[n, 3]</nowiki></code> yields <math>\frac{n (n^{2} - 3 n + 2)}{6}</math>.</div>}}
+
:{{example|1=<div><code><nowiki>BinomialCoefficient[n, 3]</nowiki></code> yields <math>\frac{n^{3} - 3 n^{2} + 2 n)}{6}</math>.</div>}}

Revision as of 12:49, 6 September 2011



BinomialCoefficient[ <Number n>, <Number r>]
Calculates the binomial coefficient n \choose r .
Example:
BinomialCoefficient[5, 3] yields 10.

CAS Syntax

BinomialCoefficient[ <Number n>, <Number r>]
Calculates the binomial coefficient n \choose r . If you type undefined variables instead of numbers it yields a formula for the binomial coefficient.
Example:
BinomialCoefficient[n, 3] yields \frac{n^{3} - 3 n^{2} + 2 n)}{6}.
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