u/Guilty-Fish9941

I find that many languages follow similar patterns when it comes to father vs. mother words phonetically.

What if factorials could work as vectors in that they have two components (the nth member of the list they describe, and the nth member of the list in the original list). Take the number five for instance. When the number five is taken the factorial of, you get the number of different configurations that a certain list would be able to generate. But what if we counted the fact that a number is in a certain order itself as a part of taking a factorial? Does that mean that kind of factorial would allow repetitions and generate infinite quantities? How does this connect infinity to pi through factorial approximations?