Manuals/calci/PERMUTATIONS

PERMUTATIONS (List,Of,MaxCount,IsAsString)

• $Listof$ are set of real numbers.
• $MaxCount$ 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. $n_{p}KorP(n,k)={\frac {n!}{(n-k)!}}$

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

See Also

• PERMUT
• COMBIN

References

• Permutation

• List of Main Z Functions

• Z3 home