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Are you allowed to use a digit more than once? I will assume not:

There are 8 choices for the first digit. One digit has been used, so there are only 7 choices for the 2nd digit. ... 6 for the 3rd, etc.

The total number of numbers is 8x7x6x5x4 = 56x30x4 = 56x120 = 6720.

If you are allowed to repeat digits, then the answer is 85 = 32,768.

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