Many country codes are 3-digit numbers. We want to find the number of all possible different 3-digit country codes. To do so, we need to first evaluate how many different choices there are for each digit. Let's list the numbers we can choose from.
0123456789
There are 10 single-digit numbers to pick from. We know there are no restrictions regarding second and third digits of the code, so they can be chosen from all 10 numbers. However, there is a restriction on the first digit. Country codes do not begin with a 0 or 1.
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