In Even Country, the area codes of the telephone numbers consist of three distinct even digits, and none of the area codes are allowed to start with 0 or 8. What is the maximum number of area codes that Even Country has?
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There are 3 possibilities for the first digit, then 4 possibilities for the second digit, then 3 possibilities for the last digit. Hence, by the rule of product, there are 3 × 4 × 3 = 3 6 possible area codes.