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permutation < -- order matters
combination <-- order doesn't matter

it's like a license plate. only the first spot can occupy the letter A

let us provide an example that uses fundamental counting principle

i.e.
List all permutations of the letters in the word CAT.

that's just a three letter word.

wait... three letters... that's 3 x 3 x 3 = 27 if we allow those letters to be repetitive though.

but there's no CCAT or anything like that .. that would be
4!/2!