A certain country is rapidly running out of telephone numbers. In large​ cities, telephone companies have introduced new area codes as numbers are used up. A telephone number consists of a​ three-digit area code followed by a 5​-digit number. Complete parts​ (a) and​ (b). Until​ recently, all area codes had a 0 or a 1 as the middle digit and the first digit could not be 0 or 1 and the third digit could not be 2. How many area codes were possible with this​ arrangement? How many telephone numbers does the current 5​-digit sequence permit per area​ code? (The first three digitsfirst three digits that follow the area code cannot start with 0 or 1 or 2. Assume that there are no other​ restrictions.)

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A certain country is rapidly running out of telephone numbers. In large​ cities, telephone companies have introduced new area codes as numbers are used up. A telephone number consists of a​ three-digit area code followed by a 5​-digit number. Complete parts​ (a) and​ (b). Until​ recently, all area codes had a 0 or a 1 as the middle digit and the first digit could not be 0 or 1 and the third digit could not be 2. How many area codes were possible with this​ arrangement? How many telephone numbers does the current 5​-digit sequence permit per area​ code? (The first three digitsfirst three digits that follow the area code cannot start with 0 or 1 or 2. Assume that there are no other​ restrictions.)

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