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Combinatorial Functions
 
Factorial (!) factorial function (total arrangements of n objects)
Subfactorial number of derangements of 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, PartitionsQ number of partitions of an integer
BellB Bell numbers
BellY Bell polynomial
    
FrobeniusNumber Frobenius number for a list
    
FiniteGroupCount, FiniteAbelianGroupCount numbers of groups of given order
    
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