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Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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
Transcribed Image Text: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. Complete parts (a) and (b) below
(a) 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 digits that follow the area code cannot start with 0 or 1. Assume that there are no other restrictions.)
There are area codes possible.
(Type a whole number.)
The current 5-digit sequence will permit
(Type a whole number.)
telephone numbers.
(b) The actual number of area codes under the previous system is 136. What is the most likely reason for this discrepancy between this number and your answer in
part a?
OA. The actual number of area codes is different from the answer to part a because in part (a) only an estimate of the number of area codes was calculated.
The actual number of possible area codes is 136.
B. The actual number of area codes is different from the answer to part a because certain area codes such as 800 and others are reserved for specific uses.
OC. The actual number of area codes is different from the answer to part a because there is a shortage of area codes under this system.
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