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den301095 [7]
2 years ago
14

How many odd integers are there between 101 and 999 have distinct digits?

Mathematics
1 answer:
guapka [62]2 years ago
8 0
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 7\cdot8\cdot8=320 such numbers.
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The expression is given as:

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