There are many ways of slicing and dicing things so that you group different sequences, e.g. group permutations as the same as you have done. But by "number" I

There are many ways of slicing and dicing things so that you group different sequences, e.g. group permutations as the same as you have done. But by "number" I was referring to a sequence of symbols drawn from a uniform distribution, so order matters. (On the website, you also choose options sequentially, anyways.)