This is documentation for Mathematica 7, which was
based on an earlier version of the Wolfram Language.
 Combinatorial Functions   Factorial (!) — factorial function (total arrangements of n objects) Subfactorial — number of derangements of n objects, leaving none unchanged FactorialPower — factorial power Hyperfactorial — hyperfactorial function Factorial2 (!!) — double factorial      Binomial — binomial coefficients Multinomial — multinomial coefficients CatalanNumber — Catalan numbers      StirlingS1, StirlingS2 — Stirling numbers PartitionsP — number of partitions of an integer BellB — Bell numbers      FrobeniusNumber — Frobenius number for a list      FiniteGroupCount, FiniteAbelianGroupCount — numbers of groups of given order      TUTORIALS Combinatorial Functions Special Functions MORE ABOUT Discrete Mathematics Integer Functions Gamma Functions and Related Functions Discrete Calculus RELATED LINKS Demonstrations related to Combinatorial Functions (The Wolfram Demonstrations Project)