Explore: Permutations (mathématiques)

as factoradic), is a mixed radix numeral system adapted to numbering permutations. It is also called factorial base, although factorials do not function

Mathématiques Pures et Appliquées, 6: 241–323 Mathieu, Émile (1873), "Sur la fonction cinq fois transitive de 24 quantités", Journal de Mathématiques

alternating to refer only to the "up-down" permutations for which c1 < c2 > c3 < ..., calling the "down-up" permutations that satisfy c1 > c2 < c3 > ... by the

article on random permutations contains an introduction to random permutations. Permutations are sets of labelled cycles. Using the labelled case of the Flajolet–Sedgewick

Journal de Mathématiques Pures et Appliquées, vol. 3, pp. 550–551, 1838 "Note sur les inversions, ou dérangements produits dans les permutations", Journal

are enumerated by Motzkin numbers. Riffle shuffle permutation, a subclass of the vexillary permutations Guibert, O.; Pergola, E.; Pinzani, R. (2001), "Vexillary

paths (sets of transpositions) that connect two vertices (permutations). Two permutations connected by an edge differ in only two places (one transposition)

Mathématiques Pures et Appliquées, 6: 241–323 Mathieu, Émile (1873), "Sur la fonction cinq fois transitive de 24 quantités", Journal de Mathématiques

way to encode each possible permutation of a sequence of n numbers. It is an instance of a scheme for numbering permutations and is an example of an inversion

kind arise in the study of permutations. In particular, the unsigned Stirling numbers of the first kind count permutations according to their number of