Telephone Numbers In 2006, the state of Kansas had four area...

Name: Problem 16, Chapter 8: Precalculus with Limits : A Graphing Approach
Uploaded: 2020-09-08T22:52:30-08:00
Duration: 1 min 44 s
Channel: Foster Wisusik
Description: Telephone Numbers In 2006, the state of Kansas had four area codes. Using the information about telephone numbers given in Example 4, how many telephone numbers could Kansas’s phone system have accommodated?

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

Key Concepts

Telephone Numbering Systems

Telephone numbering systems are structured to include segments such as area codes, exchanges, and individual line numbers. These systems use a hierarchical format to organize and route calls, and understanding the structure is essential for determining the overall capacity of phone number assignments.

Multiplicative Principle

The multiplicative principle states that if one part of a system can be configured in a certain number of ways and another independent part can be configured in its specific number of ways, then the total configurations is the product of these figures. This principle is central to calculating how many telephone numbers can be created within a given format.

Combinatorial Counting Principles

This concept involves determining the total number of outcomes by applying the multiplication rule, which calculates the product of the number of choices available at each decision point. Here, the principle is used to count the total possible telephone numbers based on the combinations of digits in their formatted sequence.

Area Code Significance

Area codes are crucial elements in telephone numbering as they designate specific geographic regions or service areas, expanding the overall pool of available telephone numbers. By having multiple area codes, a phone system can accommodate a larger number of unique telephone numbers.

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