For the record, I would have to look up the documentation everytime I encounter "comb" and "perm", while the full names are intuitive to me.

"prod" and "fact" feel somewhat less obscure.

I suppose there are two possible audiences here:
- the expert math / itertools developer that values concise names when typing in complex expressions
- the occasional math / itertools user that would have to look up any non-intuitive name on every encounter