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One hundred thousand. Since the first set of three digits has been assigned 10 possible permutations, then just let a digit 0 through 9 (ten possibilities) represent that set, then you have the other four digits, so you have a five digit permutation, {0-9} in each position. So we have from 00000 to 99999, which is 100,000 possibilities. Or if you want to think of it a different way, each three digit exchange can have ten thousand numbers 0000 to 9999. There are 10 exchanges, so multiply 10,000 by 10 = 100,000.

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Q: How many ways can a phone number be created if there are ten ways that the first three digits can be arranged and then each of the remaining four digits can be any digit from 0 to 9?
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