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There are 720 of them.

The three digit counting numbers are 100-999.

All multiples of 5 have their last digit as 0 or 5.

There are 9 possible numbers {1-9} for the first digit,

There are 10 possible numbers {0-9} for each of the first digits,

There are 8 possible numbers {1-4, 6-9} for each of the first two digits,

Making 9 x 10 x 8 = 720 possible 3 digit counting numbers not multiples of 5.

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Q: How many 3 digit counting numbers are not multiples of 5?
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