Difference between revisions of "NPr Command"
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− | <noinclude>{{Manual Page|version= | + | <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>}} | + | :{{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.
Note: See also BinomialCoefficient command.