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Assuming that you can use each number multiple times, 3125, because there

are five options for the first number, five for the second, and so on to reach

five. Then, five times five times five times five times five, or five to the fifth

power, equals 3125.

Were you only able to use each number once, the answer would be 120 based

on the same principle. There would be five options for the first number, four

remaining options for the second, three for the third, two for the fourth, and

then one for the fifth. Then, as with the first, five times four times three times

two (times one, but that really isn't necessary) results in 120.

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Q: How many five digit numbers can you make by arranging the numbers 4 1 6 9 and 3?

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