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The first digit can be any one of 9 (not zero). For each of those . . .

The second digit can be any one of 9. For each of those . . .

The third digit can be any one of the remaining 8. For each of those . . .

The fourth digit can be any one of the remaining 7. For each of those . . .

The fifth digit can be any one of the remaining 6.

Total number of possibilities = (9 x 9 x 8 x 7 x 6) = 27,216 .

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