Subsets and Permutations
Permutations »
Permutations — list permutations of a set of integers
SignaturePermutation — sign or parity of a permutation
InversePermutation — apply an inverse permutation
DistinctPermutations ▪ IdentityPermutation
NextPermutation ▪ RankPermutation ▪ RandomPermutation ▪ ...
Inversions — number of inversions
Index — index of a permutation
PermutationGraph — graph for a permutation
DurfeeSquare ▪ EncroachingListSet
PermutationType ▪ Runs ▪ Eulerian ▪ ...
Permutation Groups »
CyclicGroup — group of circular shift permutations
Orbits — orbits induced by the action of the group
CycleIndex — cycle index of a group of permutations
DihedralGroup ▪ OrbitRepresentatives ▪ ...
Subsets and Cycles »
Strings — subsets with repeating elements
BinarySubsets — enumerate subsets
KSubsets — subsets with 
elements
NextBinarySubset ▪ RankBinarySubset
LexicographicSubsets ▪ RandomSubset ▪ ...
ToCycles — find cycles for a permutation
HideCycles — represent the cycle in canonical form