[jodrellblank]

That's focusing on the wrong thing; as I said, "I know it's 10 x 10 x 10 meaning 10^3 I don't need that explanation [for the correct combinations], what I'm looking for is an intuition for why it isn't 10x3".

[cwmoore]

ChatGPT might be able to explain combinatorics if you use the keyterm.

I’m fond of derangements and their relationship with permutations, which contain a factor of e.