Combinations over permutations and vice-versa?

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Just wondering if there are ever probability questions/ situations where a set of combinations A is divided by a set of permutations S or vice-versa with uniformed probability measure? Or is it strictly when we consider events of permutations then the sample space must also be permutations, as with combinations?

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You have to stay consistent throughout the problem.

Both top and bottom are combinations of both are permutations.