Difference between revisions of "NPr Command"

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<noinclude>{{Manual Page|version=4.2}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude>
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<noinclude>{{Manual Page|version=5.0}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude>
 
{{command|probability}}
 
{{command|probability}}
 
;nPr [ <Number n>, <Number r> ]
 
;nPr [ <Number n>, <Number r> ]
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:Returns the number of possible permutations without repetition of ''r'' elements out of a list of ''n'' elements.
 
:Returns the number of possible permutations without repetition of ''r'' elements out of a list of ''n'' elements.
 
:{{example| 1=<div><code><nowiki>nPr[10, 2]</nowiki></code> yields ''90''.</div>}}
 
:{{example| 1=<div><code><nowiki>nPr[10, 2]</nowiki></code> yields ''90''.</div>}}
:{{example| 1=<div><code><nowiki>nPr[n, 3]</nowiki></code> yields ''n³ - 3n² + 2n''.</div>}}
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:{{example| 1=<div><code><nowiki>nPr[n, 3]</nowiki></code> yields <math>\frac{n!}{(n-3)!}</math>, which is equal to ''n³ - 3n² + 2n''.</div>}}
 
{{Note|1= See also [[BinomialCoefficient Command|BinomialCoefficient command]].}}
 
{{Note|1= See also [[BinomialCoefficient Command|BinomialCoefficient command]].}}

Revision as of 12:56, 6 August 2015


nPr [ <Number n>, <Number r> ]
Returns the number of possible permutations without repetition of r elements out of a list of n elements.
Example:
nPr[10, 2] yields 90.


CAS Syntax

nPr [ <Number n>, <Number r> ]
Returns the number of possible permutations without repetition of r elements out of a list of n elements.
Example:
nPr[10, 2] yields 90.
Example:
nPr[n, 3] yields \frac{n!}{(n-3)!}, which is equal to n³ - 3n² + 2n.
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