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.)
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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