7.) Several years ago, the US began running out of telephone numbers. Telephone companies introduced new area codes and numbers were used up, and eventually almost all area codes were used up. (a) Until recently, all area codes had a 0 or 1 as the middle digit, and the first digit could not be 0 or 1. How many such area codes are possible? (b) The actual number of area codes under this system was 152. What could be the cause of the discrepancy between this number and your answer to part (a)?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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7.) Several years ago, the US began running out of telephone numbers. Telephone companies
introduced new area codes and numbers were used up, and eventually almost all area codes were
used up.

(a) Until recently, all area codes had a 0 or 1 as the middle digit, and the first digit could not be 0
or 1. How many such area codes are possible?


(b) The actual number of area codes under this system was 152. What could be the cause of the
discrepancy between this number and your answer to part (a)?

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