A permutation, also called an "arrangement number" or "order," is a rearrangement of the elements of an ordered list into a one-to-one correspondence with itself. The number of permutations on a set of elements is given by ( factorial; Uspensky 1937, p. 18). For example, there are permutations of , namely and , and permutations of , namely , , , , , and . The permutations of a list can be found in
