I’m already aware of what factorial are used for, but the other versions are less intuitive. I understand how they work on paper, but what problems are they used to solve?
Also how high do they go in practical terms? Are there quadruple, quintuple, etc, versions?
The number of possible bifurcating trees with labeled tips is, I think, “(3n-1)!!”. Going from memory, so I probably got that formula slightly wrong. That’s how many possible evolutionary history topologies there are for n species under some mild assumptions.
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