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How many different, positive four-degit integers, with no repeated digits, can be formed using the digits 0 through 9?
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You're given 10 digits to work with, with no repetitions, and 4 choices. The formula for the number you're looking for is given by \[10P4={10! \over (10-4)!}\]
And order matters, which is why you have to use a permutation instead of a combination.
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