Combinatorial Functions - Wolfram Mathematica

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Combinatorial Functions

Factorial (!) — factorial function (total arrangements of n objects)

Subfactorial — number of derangements of n objects, leaving none unchanged

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

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