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The first digit can be any one of 9 choices. For each of these . . .

The second digit can be any one of the remaining 8 choices. For each of these . . .

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The seventh digit can be any one of the remaining 3 choices.

Total possibilities = (9 x 8 x 7 x 6 x 5 x 4 x 3) = 181,440

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Q: How many seven digit numbers can be made from numbers 123456789 but no repetitions is allowed?
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How many 2-digit numbers can be produce using the digits 123456789 if repetition is not allowed?

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