Answer is 9 million telephone numbers: from 100-0000 to 999-9999.
A 7-digit phone number is no different than a 7-digit number. Each digit can be unique. A 7-digit number can have 10 million combinations (from 0000000 to 9999999).
The problem says to exclude all phone numbers starting with a zero (as the first digit). This leaves out 1 million numbers (from 000-0000 to 099-9999).
Note: This does not look at what the phone companies consider to be valid or invalid phone numbers - since that wasn't in the question.
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