[zahlman]

Good luck!

I'm probably not at all in your intended audience, so don't take it too seriously. But I do think it's a good idea to "close the loop" when you're presenting ideas around a central theme (here, combinatorics). There's a lot more you could add from here, too, branching off into why `math.comb` gives the right answer. That is, if you present a way to do something without the binomial theorem, but also talk about how the binomial theorem is relevant and would allow solving the problem, the natural completion is to... prove the theorem :) (Or at least, cite someone else's proof.)