Perhaps there is a built-in function for this?
I have vectors of integers. All vectors have the same number of elements c. There are c values in the domain. The values in each vector need not be unique but there may not be duplicate vectors.
Each set of these vectors has a known distribution. For example, for c=5 there is a set with frequencies {1,2,2}. One member of that set looks like {a,b,b,c,c}.
The function I'm seeking would calculate the size (number of vectors) with F[5,{1,2,2}].
In lieu of a function I've attempted to define a formula. There appears to be two trivial distributions: {c} and {1, 1, …, 1}. The former has size c and the latter c!. The others involve products of binomial coefficients.
