(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?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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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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