A telephone number consists of seven digits with the restriction that the first digit cannot be 0
Question:
A telephone number consists of seven digits with the restriction that the first digit cannot be 0 or 1. Repetition of digits is permitted.
(a) How many distinct telephone numbers are possible?
(b) How many distinct telephone numbers are possible with three-digit area codes preceding the seven-digit number, where the first digit of the area code is not 0 or 1?
(c) With the increasing use of cell phones and paging systems, our society is beginning to run out of usable phone numbers. Various phone companies are developing phone numbers that use 8 digits instead of 7. How many distinct phone numbers can be made using a three digit area code followed by an eight digit phone number, where the first digit of the area code and the phone number cannot be 0 or 1?
Step by Step Answer:
A Survey of Mathematics with Applications
ISBN: 978-0134112107
10th edition
Authors: Allen R. Angel, Christine D. Abbott, Dennis Runde