Telephone Numbers In 2006, the state of Nevada had two area...

Name: Problem 15, Chapter 8: Precalculus with Limits : A Graphing Approach
Uploaded: 2020-09-08T22:49:36-08:00
Duration: 1 min 38 s
Channel: Foster Wisusik
Description: Telephone Numbers In 2006, the state of Nevada had two area codes. Using the information about telephone numbers given in Example 4, how many telephone numbers could Nevada’s phone system have accommodated?

Telephone Numbers In 2006, the state of Nevada had two area codes. Using the information about telephone numbers given in Example 4, how many telephone numbers could Nevada’s phone system have accommodated?

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Key Concepts

Telephone Numbering Plan

A telephone numbering plan is a system that assigns telephone numbers to subscriber telephones or other communications endpoints. It includes the rules for the composition of the numbers, such as the division into area codes, central office (or exchange) codes, and subscriber numbers, ensuring a unique number for each connection. This overall structure allows for the management and allocation of a finite set of telephone numbers within a given geographic or service area.

Area Code

An area code is the segment of a telephone number that designates a particular geographic region within a numbering plan. It is used to route calls to the appropriate region or service area. The division of a region into different area codes increases the total number of available telephone numbers for that area by effectively segmenting the numbering space into distinct groups.

Combinatorial Counting

Combinatorial counting is a mathematical method used to count the number of possible combinations or arrangements when given a set of digits or characters. In the context of telephone numbering, it involves applying the multiplication principle to determine how many unique telephone numbers can be formed by combining the digits in various positions, taking into account any constraints or reserved digits.

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