Multinomial

Multinomial[n1, n2, ...] gives the multinomial coefficient for the given term.

Attributes[Multinomial] := {Listable, NumericFunction, Orderless, Protected, ReadProtected}

Simple examples

Find the multinomial coefficient for the 1, 3, 1 term:

In[1]:= Multinomial[1, 3, 1]
Out[1]= 20

Multinomial handles symbolic arguments:

In[2]:= Multinomial[1, k, 1]
Out[2]= (Factorial[k + 2])/(Factorial[k])