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The first digit can be one of {1, 2, 3, 4, 5, 6, 8}, ie one of 7 digits;

for each of these, the second digit can be one of {0, 1, 2, 3, 4, 5, 6, 8}, ie one of 8 digits;

for each of these two, the third digit can also be one of {0, 1, 2, 3, 4, 5, 6, 8}, ie one of 8 digits;

making 7 × 8 × 8 = 488 such three digit numbers.

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Q: How many three-digit whole numbers have no 7's and no 9's as digits?
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