Difference between revisions of "BinomialCoefficient Command"

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{{command|cas=true|algebra}}
 
{{command|cas=true|algebra}}
 
;BinomialCoefficient[ <Number>, <Number> ]
 
;BinomialCoefficient[ <Number>, <Number> ]
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:Calculates the binomial coefficient <math> n \choose r </math>. The first Number represents all elements ''n'' and the second Number represents the selected elements ''r''. 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>. The first Number represents all elements ''n'' and the second Number represents the selected elements ''r''. 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^{3} - 3 n^{2} + 2 n}{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>}}
{{Note|1= See also [[nPr Command|nPr command]].}}
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{{Note|1= See also [[nPr Command|NPr command]].}}

Revision as of 13:31, 20 July 2015



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.

CAS Syntax

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. 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}.
Note: See also NPr command.
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