Permutations

Permutations(list)

gives all possible orderings of the items in list.

Permutations(list, n)

gives permutations up to length n.

Permutations(list, {n})

finds a list of all possible permutations containing exactly n elements.

See

• Wikipedia - Permutation

Examples

>> Permutations({a, b, c})
{{a,b,c},{a,c,b},{b,a,c},{b,c,a},{c,a,b},{c,b,a}}

>> Permutations({1, 2, 3}, 2)
{{},{1},{2},{3},{1,2},{1,3},{2,1},{2,3},{3,1},{3,2}}

>> Permutations({a, b, c}, {2})
{{a,b},{a,c},{b,a},{b,c},{c,a},{c,b}}

Related terms

Cycles, FindPermutation, PermutationCycles, PermutationCyclesQ, PermutationList, PermutationListQ, PermutationReplace

Implementation status

• ✅ - full supported

Github

• Implementation of Permutations