Difference between revisions of "Manuals/calci/PERMUT"
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<div style="font-size:30px">'''PERMUT(Number,NumberChosen)'''</div><br/> | <div style="font-size:30px">'''PERMUT(Number,NumberChosen)'''</div><br/> | ||
| − | *<math>Number</math> and <math> NumberChosen </math> are integers | + | *<math>Number</math> and <math> NumberChosen </math> are integers. |
| + | **PERMUT(), returns the number of permutations for a given number of objects. | ||
==Description== | ==Description== | ||
Revision as of 15:57, 8 August 2018
PERMUT(Number,NumberChosen)
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Number}
and are integers.
- PERMUT(), returns the number of permutations for a given number of objects.
are integers.
Description
- This function gives the number of Permutations for a given number of objects.
- A permutation, also called an "arrangement number" or "order", is a rearrangement of the elements of an ordered list.
- A selection of objects in which the order of the objects matters.
- A Permutation is an Ordered Combination.
- In Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle PERMUT(Number,NumberChosen)} , Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Number} is an integer which is indicating the number of objects and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle NumberChosen} is an integer which is indicating the number of objects in each permutation.
- For Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Number} and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle NumberChosen} , when we give in decimals, it will change into integers.
- The formula for the number of permutation is: Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle _n P_k= \frac {n!}{(n-k)!}}
- The Permutation is denoted by Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle _nP_k} , Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle P_{n,k}} , or Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle P(n,k) } .This function will give the result as error when
1.Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Number}
and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle NumberChosen}
are non-numeric.
2.Suppose Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Number \le 0}
or Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle NumberChosen < 0}
or Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Number < NumberChosen }
.
Examples
- =PERMUT(14,2) = 182
- =PERMUT(50,5) = 254251200
- =PERMUT(10.2,3) = 720
- =PERMUT(4,0) = 1
- =PERMUT(6,1) = 6
Related Videos
See Also
References