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Try starting with a 2x2, then 3x3, etc. image and manually list all the possibilities.


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".


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.




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