Difference between revisions of "BinomialCoefficient Command"

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<noinclude>{{Manual Page|version=4.2}}</noinclude>
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|algebra}}
{{command|cas=true|algebra}}
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;BinomialCoefficient( <Number>, <Number> )
;BinomialCoefficient[ <Number>, <Number> ]
 
 
: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''.
 
: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''.
:{{example|1=<div><code><nowiki>BinomialCoefficient[5, 3]</nowiki></code> yields ''10''.</div>}}
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:{{example|1=<code><nowiki>BinomialCoefficient(5, 3)</nowiki></code> yields ''10''.}}
==CAS Syntax==
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;BinomialCoefficient[ <Number>, <Number> ]
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:{{hint|1=
: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.
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If your input in the [[File:Menu view cas.svg|link=|16px]] [[CAS View]] contains undefined variables, then this command 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>}}
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::{{example|1=<code><nowiki>BinomialCoefficient(n, 3)</nowiki></code> yields <math>\frac{n^{3} - 3 n^{2} + 2 n}{6}</math>.}}
{{Note|1= See also [[nPr Command|nPr command]].}}
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}}
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{{Note|1= See also [[nPr Command|NPr command]].}}

Latest revision as of 10:07, 11 October 2017


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.


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 \frac{n^{3} - 3 n^{2} + 2 n}{6}.
Note: See also NPr command.
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