There are 7!/4! = 210
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64 different arrangements are possible.
There are 6!/(3!*2!) = 60 arrangements.
40,320
There are 4 letters in IOWA, all non repeating. Arrangements are 4! or 24.
5! 5 * 4 * 3 * 2 *1 = 120 arrangements you take the number of letters in the words and make it a factorial.