# There are 60 possibilities that can be made for a three digit number using the numbers 2 4 6 8 and 9 how many of these three digit numbers are smaller than 500?

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There are 60 possibilities that can be made for a three digit
number using the numbers 2 4 6 8 and 9. *(5 choices for the first
digit, 4 choices for the second digit, and 3 choices for the third
digit - multiply 5, 4, and 3, and you get 60.)*

To determine how many of these three digit numbers are smaller than 500, consider that, given 2 4 6 8 and 9, the first digit would have to be 2 or 4. That gives 2 choices for the first digit, 4 choices for the second digit, and 3 choices for the third digit. Multiply 2, 4, and 3, and you get 24.