Difference between revisions of "Manuals/calci/PERMUTATIONS"
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− | == | + | <div style="font-size:30px">'''PERMUTATIONS (List,Of,MaxCount,IsAsString)'''</div><br/> |
+ | *<math>List of</math> are set of real numbers. | ||
+ | *<math>MaxCount</math> 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. <math>n_pK or P(n,k)=\frac{n!}{(n-k)!} </math> | ||
+ | |||
+ | ==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== | ||
+ | |||
+ | {{#ev:youtube|v=DROZVHObeko|280|center|Permutations}} | ||
+ | |||
+ | |||
+ | ==See Also== | ||
+ | *[[Manuals/calci/PERMUT | PERMUT]] | ||
+ | *[[Manuals/calci/COMBIN | COMBIN ]] | ||
+ | |||
+ | ==References== | ||
+ | *[https://en.wikipedia.org/wiki/Permutation Permutation] | ||
+ | |||
+ | |||
+ | |||
+ | *[[Z_API_Functions | List of Main Z Functions]] | ||
+ | |||
+ | *[[ 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
See Also
References