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If the order of the roll matters (i.e. you start with die #1, roll it and record it's number, then do die #2, and so on), then the answer would be 65.

If the order of the roll does not matter (i.e. rolling 1, 2, 3, 4, 5 is considered the same as rolling 5, 4, 3, 2, 1), then the answer is 434. This is equal to:

(d + (f - 1))! / (d! * (f - 1)!)

Where 'd' is the number of dice used and 'f' is number of faces on each die. There may be a more formal definition as I just worked out that one myself.

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