Difference between revisions of "BinomialCoefficient Command"

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<noinclude>{{Manual Page|version=4.0}}</noinclude>
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|algebra}}
{{command|algebra}}
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;BinomialCoefficient( <Number>, <Number> )
; BinomialCoefficient[Number n, Number r]: Calculates the binomial coefficient <math> n \choose r </math>.
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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''.
{{example|1=<code>BinomialCoefficient[5,3]</code> returns 10.}}
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:{{example|1=<code><nowiki>BinomialCoefficient(5, 3)</nowiki></code> yields ''10''.}}
==CAS Syntax==
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; 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.
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:{{hint|1=
{{example|1=<code>BinomialCoefficient[n,3]</code> returns <math>\frac{n (n² - 3n + 2)}{6}</math>.}}
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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.
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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>.}}
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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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