tatianaflores4735 tatianaflores4735
  • 01-06-2018
  • Mathematics
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How many odd integers are there between 101 and 999 have distinct digits?

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LammettHash
LammettHash LammettHash
  • 01-06-2018
Every number will have only 3 digits. In the ones place, there are 5 choices. For every choice of digit made in the ones place, there are 8 possible choices for the hundreds place (you can choose from 1-9, omitting whatever is used in the ones place), and there are 8 possible choices for the tens place (you can choose from 0-9, omitting whatever has already been used elsewhere).

So there are [tex]7\cdot8\cdot8=320[/tex] such numbers.
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