Permute[expr,perm]
permutes the positions of the elements of expr according to the permutation perm.
Permute[expr,gr]
Find the Number of Possibilities 8 permute 2. Evaluate using the formula. Tap for more steps. Cancel the common factor of. Given a collection of distinct integers, return all possible permutations. Example: Input: 1,2,3 Output: 1,2,3, 1,3,2, 2,1,3, 2,3,1, 3,1,2, 3,2,1. = 5 x 4 x 3 x 2 x 1 5! = 120 Calculate our permutation value n P r for n = 8 and r = 3: 8 P 3 = 40,320: 120: 8 P 3 = 336. In Microsoft Excel or Google Sheets, you write this function as =PERMUT(8,3) For More Information, Check Out Permutations and Combinations Flashcards Below.
returns the list of permuted forms of expr under the elements of the permutation group gr.
- Permute works with any nonatomic expressions, operating on the first level of expressions.
- Permute reorders the elements of an expression but never changes its length.
- The permutation perm can be given in disjoint cyclic form or as a permutation list.
- When perm is given in cyclic form Cycles[{cyc1,cyc2,…}], a cycle {p1,p2,…} moves the elements of expr in a cyclic manner so that expr[[pi]] is moved to position pi+1.
- When perm is given as a permutation list, the result is equivalent to the use of Permute[expr,PermutationCycles[perm]].
- A permutation group gr can be specified by generators, with head PermutationGroup, or in named form, with head SymmetricGroup, AlternatingGroup, ….
Basic Examples(3)
Cyclic permutation of three elements in a list:
Take the lowercase alphabet: Export calendars pro 1 9 2019.
Exchange the first and last character: Disk space analyzer 1 0 3 download free.
Permute several characters:
Permute an expression under all elements of a group:
Scope(3)
Permute the parts of an expression:
![Permute Permute](https://www.calculatorsoup.com/images/thumbnails/calculators_discretemathematics_permutations.png)
Permute the parts of an expression under all elements of a group:
Give a permutation in list form. The length of the expression does not change:
Applications(1)
The eight possible rotations and reflections of a square:
Properties & Relations(5)
Permute never changes the number of parts of an expression. It simply reorders them:
However, Part can change the number of parts:
When applied to the identity permutation list, Permute is the inverse of PermutationReplace:
Permute can also be used as an alternative to PermutationList:
Permute 2 2 3 88
Another way of inverting the action of Permute is using FindPermutation:
When all parts of the expression are different, the permutation can be uniquely recovered:
Permute is a right action with respect to the product of permutations:
Permute 2 2 3 80
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Permute 2 2 3 8 Nmsa 1978
Introduced in 2010