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5 factorial is just a number .... namely, 120 .

If you want to see all of the 120 'permutations' of five objects, simply do this:

-- List all of the 5-digit numbers from 01,234 to 43,210.

-- Cross off every number on the list that has any digit greater than 4 in it.

-- Cross off every number on the list that has any repeated digit in it.

You'll have all of the 120 permutations of the objects 0, 1, 2, 3, and 4, without repetition.

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Q: What are the 120 combinations produced by 5 factorial?
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