(a) How many three-digit phone prefixes that are used to represent a particular geographic area (such as an area code) can be created from the digits 0 through 9? (b) As in part (a), how many three-digit phone prefixes are possible that do not start with 0, but contain 0 as the middle digit? (c) How many three-digit phone prefixes are possible in which no digit appears more than once in each prefix?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Consider the design of a communication system.
(a) How many three-digit phone prefixes that are used to represent a particular geographic area (such as an area code)
can be created from the digits 0 through 9?
(b) As in part (a), how many three-digit phone prefixes are possible that do not start with 0, but contain 0 as
the middle digit?
(c) How many three-digit phone prefixes are possible in which no digit appears more than once in each prefix?
Transcribed Image Text:Consider the design of a communication system. (a) How many three-digit phone prefixes that are used to represent a particular geographic area (such as an area code) can be created from the digits 0 through 9? (b) As in part (a), how many three-digit phone prefixes are possible that do not start with 0, but contain 0 as the middle digit? (c) How many three-digit phone prefixes are possible in which no digit appears more than once in each prefix?
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