Difference between revisions of "Manuals/calci/PERMUTATIONS"

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==permut
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<div style="font-size:30px">'''PERMUTATIONS (List,Of,MaxCount,IsAsString)'''</div><br/>
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*<math>List of</math> are set of real numbers.
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*<math>MaxCount</math> maximum number of counts.
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==Description==
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*This function returns the Permutation list of the given number.
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*A permutation, also called an "arrangement number" or "order," is a rearrangement of the elements of an ordered in a list.
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*In PERMUTATIONS(List,Of,MaxCount,IsAsString),List is the set of numbers to find the Permutation.
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*Maxcount is the maximum number of counts to find the Permutation.
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*A formula for the number of possible permutations of k objects from a set of n. <math>n_pK or P(n,k)=\frac{n!}{(n-k)!} </math>
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==Examples==
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1. PERMUTATIONS([3,4,5,6],3)
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3  4  5
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3  4  6
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3  5  4
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3  5  6
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3  6  4
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3  6  5
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4  3  5
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4  3  6
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4  5  3
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4  5  6
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4  6  3
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4  6  5
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5  3  4
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5  3  6
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5  4  3
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5  4  6
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5  6  3
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5  6  4
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6  3  4
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6  3  5
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6  4  3
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6  4  5
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6  5  3
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  6  5  4
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==Related Videos==
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{{#ev:youtube|v=DROZVHObeko|280|center|Permutations}}
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==See Also==
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*[[Manuals/calci/PERMUT | PERMUT]]
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*[[Manuals/calci/COMBIN  | COMBIN ]]
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==References==
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*[https://en.wikipedia.org/wiki/Permutation Permutation]
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*[[Z_API_Functions | List of Main Z Functions]]
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*[[ Z3 |  Z3 home ]]

Latest revision as of 23:59, 15 April 2020

PERMUTATIONS (List,Of,MaxCount,IsAsString)


  • are set of real numbers.
  • maximum number of counts.

Description

  • This function returns the Permutation list of the given number.
  • A permutation, also called an "arrangement number" or "order," is a rearrangement of the elements of an ordered in a list.
  • In PERMUTATIONS(List,Of,MaxCount,IsAsString),List is the set of numbers to find the Permutation.
  • Maxcount is the maximum number of counts to find the Permutation.
  • A formula for the number of possible permutations of k objects from a set of n.

Examples

1. PERMUTATIONS([3,4,5,6],3)

3  4  5
3  4  6
3  5  4
3  5  6
3  6  4
3  6  5
4  3  5
4  3  6
4  5  3
4  5  6
4  6  3
4  6  5
5  3  4
5  3  6
5  4  3
5  4  6
5  6  3
5  6  4
6  3  4
6  3  5
6  4  3
6  4  5
6  5  3
 6  5  4

Related Videos

Permutations


See Also

References