Difference between revisions of "BinomialCoefficient Command"

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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|algebra}}
 
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;BinomialCoefficient[ <Number>, <Number> ]
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;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>}}
 
:{{example|1=<div><code><nowiki>BinomialCoefficient[5, 3]</nowiki></code> yields ''10''.</div>}}

Revision as of 17:15, 7 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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