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Telephone numbers are preceded by a 3 -digit area code (e.g. 514). In the following questions, any digit from {0, 1, 2, 3, 4, 5,

Telephone numbers are preceded by a 3-digit area code (e.g. 514). In the following questions, any digit from {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} can be used unless otherwise stated. How many area codes are possible if:

  1. the third digit must not be 7?
  2. the digit 6 must not be used?
  3. all three digits must be the same? e.g. 8-8-8
  4. the first digit cannot be 0 or 1, the second digit cannot be 6 or 8, and the third digit must be 8?

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