Algebra and Trigonometry: Structure and Method, Book 2
Algebra and Trigonometry: Structure and Method, Book 2
2000th Edition
ISBN: 9780395977255
Author: MCDOUGAL LITTEL
Publisher: McDougal Littell
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Chapter 15.5, Problem 11WE
To determine

To calculate: The number of ways to create a 7-digit telephone number.

Expert Solution & Answer
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Answer to Problem 11WE

The number of ways to create a 7-digit telephone numberare 20,000 .

Explanation of Solution

Given information:

In a 7-digit telephone number first digit must be 8, second must be 5 and third must be 2 or 3.

Formula used:

Fundamental counting principle states that if there are m ways to make a selection and n ways to make a second selection then there are m×n number of ways in which two selection can be made.

Calculation:

Consider the provided information that in a 7-digit telephone number first digit must be 8, second must be 5 and third must be 2 or 3.

Let 7-digit telephone numberbe        .

To select the first digit there is only one option that is 8 according to the question 1       .

Similarly second digit should be 5 so only 1 choice to fill it, 1 1      .

Third digit can be either 2 or 3 so third box can have 2 possibilities 1 1 2     .

Since digits are available from 0 to 9 and no restriction on repetition of digits so remaining 4 boxes can be filled with 10 options each.

  1 1 2 10 10 10 10

Recall that Fundamental counting principle states that if there are m ways to make a selection and n ways to make a second selection then there are m×n number of ways in which two selection can be made.

Therefore, the number of ways to select are,

  1×1×2×10×10×10×10=20,000

Thus, the number of ways to create a 7-digit telephone number are 20,000 .

Chapter 15 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 15.1 - Prob. 3WECh. 15.1 - Prob. 4WECh. 15.1 - Prob. 5WECh. 15.1 - Prob. 6WECh. 15.1 - Prob. 7WECh. 15.1 - Prob. 8WECh. 15.1 - Prob. 9WECh. 15.1 - Prob. 10WECh. 15.1 - Prob. 11WECh. 15.1 - Prob. 12WECh. 15.1 - Prob. 13WECh. 15.1 - Prob. 14WECh. 15.1 - Prob. 15WECh. 15.1 - Prob. 16WECh. 15.1 - Prob. 17WECh. 15.1 - Prob. 18WECh. 15.1 - Prob. 1MRECh. 15.1 - Prob. 2MRECh. 15.1 - Prob. 3MRECh. 15.1 - Prob. 4MRECh. 15.1 - Prob. 5MRECh. 15.1 - Prob. 6MRECh. 15.2 - Prob. 1OECh. 15.2 - Prob. 2OECh. 15.2 - Prob. 3OECh. 15.2 - Prob. 4OECh. 15.2 - Prob. 5OECh. 15.2 - Prob. 6OECh. 15.2 - Prob. 7OECh. 15.2 - Prob. 8OECh. 15.2 - Prob. 9OECh. 15.2 - Prob. 10OECh. 15.2 - Prob. 11OECh. 15.2 - Prob. 12OECh. 15.2 - Prob. 13OECh. 15.2 - Prob. 14OECh. 15.2 - Prob. 1WECh. 15.2 - Prob. 2WECh. 15.2 - Prob. 3WECh. 15.2 - Prob. 4WECh. 15.2 - Prob. 5WECh. 15.2 - Prob. 6WECh. 15.2 - Prob. 7WECh. 15.2 - Prob. 8WECh. 15.2 - Prob. 9WECh. 15.2 - Prob. 10WECh. 15.2 - Prob. 11WECh. 15.2 - Prob. 12WECh. 15.2 - Prob. 13WECh. 15.2 - Prob. 14WECh. 15.2 - Prob. 15WECh. 15.2 - Prob. 16WECh. 15.2 - Prob. 17WECh. 15.2 - Prob. 18WECh. 15.2 - Prob. 19WECh. 15.2 - Prob. 20WECh. 15.3 - Prob. 1OECh. 15.3 - Prob. 2OECh. 15.3 - Prob. 3OECh. 15.3 - Prob. 4OECh. 15.3 - Prob. 5OECh. 15.3 - Prob. 6OECh. 15.3 - Prob. 1WECh. 15.3 - Prob. 2WECh. 15.3 - Prob. 3WECh. 15.3 - Prob. 4WECh. 15.3 - Prob. 5WECh. 15.3 - Prob. 6WECh. 15.3 - Prob. 7WECh. 15.3 - Prob. 8WECh. 15.3 - Prob. 9WECh. 15.3 - Prob. 10WECh. 15.3 - Prob. 11WECh. 15.3 - Prob. 12WECh. 15.3 - Prob. 1MRECh. 15.3 - Prob. 2MRECh. 15.3 - Prob. 3MRECh. 15.3 - Prob. 4MRECh. 15.3 - Prob. 5MRECh. 15.3 - Prob. 6MRECh. 15.4 - Prob. 1OECh. 15.4 - Prob. 2OECh. 15.4 - Prob. 3OECh. 15.4 - Prob. 1WECh. 15.4 - Prob. 2WECh. 15.4 - Prob. 3WECh. 15.4 - Prob. 4WECh. 15.4 - Prob. 5WECh. 15.4 - Prob. 6WECh. 15.4 - Prob. 7WECh. 15.4 - Prob. 8WECh. 15.4 - Prob. 9WECh. 15.4 - Prob. 10WECh. 15.4 - Prob. 11WECh. 15.4 - Prob. 12WECh. 15.4 - Prob. 13WECh. 15.4 - Prob. 1STCh. 15.4 - Prob. 2STCh. 15.4 - Prob. 3STCh. 15.4 - Prob. 4STCh. 15.4 - Prob. 5STCh. 15.4 - Prob. 6STCh. 15.5 - Prob. 1OECh. 15.5 - Prob. 2OECh. 15.5 - Prob. 3OECh. 15.5 - Prob. 4OECh. 15.5 - Prob. 1WECh. 15.5 - Prob. 2WECh. 15.5 - Prob. 3WECh. 15.5 - Prob. 4WECh. 15.5 - Prob. 5WECh. 15.5 - Prob. 6WECh. 15.5 - Prob. 7WECh. 15.5 - Prob. 8WECh. 15.5 - Prob. 9WECh. 15.5 - Prob. 10WECh. 15.5 - Prob. 11WECh. 15.5 - Prob. 12WECh. 15.5 - Prob. 13WECh. 15.5 - Prob. 14WECh. 15.5 - Prob. 15WECh. 15.5 - Prob. 16WECh. 15.5 - Prob. 17WECh. 15.5 - Prob. 18WECh. 15.5 - Prob. 19WECh. 15.5 - Prob. 20WECh. 15.5 - Prob. 1MRECh. 15.5 - Prob. 2MRECh. 15.5 - Prob. 3MRECh. 15.5 - Prob. 4MRECh. 15.5 - Prob. 5MRECh. 15.5 - Prob. 6MRECh. 15.5 - Prob. 7MRECh. 15.5 - Prob. 8MRECh. 15.6 - Prob. 1OECh. 15.6 - Prob. 2OECh. 15.6 - Prob. 3OECh. 15.6 - Prob. 4OECh. 15.6 - Prob. 5OECh. 15.6 - Prob. 6OECh. 15.6 - Prob. 7OECh. 15.6 - Prob. 8OECh. 15.6 - Prob. 9OECh. 15.6 - Prob. 10OECh. 15.6 - Prob. 11OECh. 15.6 - Prob. 12OECh. 15.6 - Prob. 1WECh. 15.6 - Prob. 2WECh. 15.6 - Prob. 3WECh. 15.6 - Prob. 4WECh. 15.6 - Prob. 5WECh. 15.6 - Prob. 6WECh. 15.6 - Prob. 7WECh. 15.6 - Prob. 8WECh. 15.6 - Prob. 9WECh. 15.6 - Prob. 10WECh. 15.6 - Prob. 11WECh. 15.6 - Prob. 12WECh. 15.6 - Prob. 13WECh. 15.6 - Prob. 14WECh. 15.6 - Prob. 15WECh. 15.6 - Prob. 16WECh. 15.6 - Prob. 17WECh. 15.6 - Prob. 18WECh. 15.6 - Prob. 19WECh. 15.6 - Prob. 20WECh. 15.6 - Prob. 21WECh. 15.6 - Prob. 22WECh. 15.6 - Prob. 23WECh. 15.6 - Prob. 24WECh. 15.6 - Prob. 25WECh. 15.6 - Prob. 26WECh. 15.6 - Prob. 27WECh. 15.6 - Prob. 28WECh. 15.6 - Prob. 29WECh. 15.6 - Prob. 30WECh. 15.6 - Prob. 31WECh. 15.7 - Prob. 1OECh. 15.7 - Prob. 2OECh. 15.7 - Prob. 3OECh. 15.7 - Prob. 4OECh. 15.7 - Prob. 5OECh. 15.7 - Prob. 6OECh. 15.7 - Prob. 7OECh. 15.7 - Prob. 1WECh. 15.7 - Prob. 2WECh. 15.7 - Prob. 3WECh. 15.7 - Prob. 4WECh. 15.7 - Prob. 5WECh. 15.7 - Prob. 6WECh. 15.7 - Prob. 7WECh. 15.7 - Prob. 8WECh. 15.7 - Prob. 9WECh. 15.7 - Prob. 10WECh. 15.7 - Prob. 11WECh. 15.7 - Prob. 12WECh. 15.7 - Prob. 13WECh. 15.7 - Prob. 14WECh. 15.7 - Prob. 15WECh. 15.7 - Prob. 16WECh. 15.7 - Prob. 17WECh. 15.7 - Prob. 18WECh. 15.7 - Prob. 19WECh. 15.7 - Prob. 20WECh. 15.7 - Prob. 21WECh. 15.7 - Prob. 22WECh. 15.7 - Prob. 23WECh. 15.7 - Prob. 24WECh. 15.7 - Prob. 25WECh. 15.7 - Prob. 26WECh. 15.7 - Prob. 27WECh. 15.7 - Prob. 28WECh. 15.7 - Prob. 29WECh. 15.7 - Prob. 30WECh. 15.7 - Prob. 1MRECh. 15.7 - Prob. 2MRECh. 15.7 - Prob. 3MRECh. 15.7 - Prob. 4MRECh. 15.7 - Prob. 5MRECh. 15.7 - Prob. 6MRECh. 15.7 - Prob. 7MRECh. 15.7 - Prob. 8MRECh. 15.7 - Prob. 9MRECh. 15.7 - Prob. 10MRECh. 15.7 - Prob. 11MRECh. 15.7 - Prob. 12MRECh. 15.7 - Prob. 1CECh. 15.7 - Prob. 2CECh. 15.7 - Prob. 3CECh. 15.7 - Prob. 4CECh. 15.7 - Prob. 5CECh. 15.7 - Prob. 1STCh. 15.7 - Prob. 2STCh. 15.7 - Prob. 3STCh. 15.7 - Prob. 4STCh. 15.7 - Prob. 5STCh. 15.7 - Prob. 6STCh. 15.8 - Prob. 1OECh. 15.8 - Prob. 2OECh. 15.8 - Prob. 1WECh. 15.8 - Prob. 2WECh. 15.8 - Prob. 3WECh. 15.8 - Prob. 4WECh. 15.8 - Prob. 5WECh. 15.8 - Prob. 6WECh. 15.8 - Prob. 7WECh. 15.8 - Prob. 8WECh. 15.8 - Prob. 9WECh. 15.8 - Prob. 10WECh. 15.8 - Prob. 11WECh. 15.8 - Prob. 12WECh. 15.8 - Prob. 13WECh. 15.8 - Prob. 14WECh. 15.8 - Prob. 15WECh. 15.8 - Prob. 16WECh. 15.9 - Prob. 1OECh. 15.9 - Prob. 2OECh. 15.9 - Prob. 3OECh. 15.9 - Prob. 4OECh. 15.9 - Prob. 5OECh. 15.9 - Prob. 6OECh. 15.9 - Prob. 7OECh. 15.9 - Prob. 8OECh. 15.9 - Prob. 9OECh. 15.9 - Prob. 10OECh. 15.9 - Prob. 11OECh. 15.9 - Prob. 1WECh. 15.9 - Prob. 2WECh. 15.9 - Prob. 3WECh. 15.9 - Prob. 4WECh. 15.9 - Prob. 5WECh. 15.9 - Prob. 6WECh. 15.9 - Prob. 7WECh. 15.9 - Prob. 8WECh. 15.9 - Prob. 9WECh. 15.9 - Prob. 10WECh. 15.9 - Prob. 11WECh. 15.9 - Prob. 12WECh. 15.9 - Prob. 13WECh. 15.9 - Prob. 14WECh. 15.9 - Prob. 1MRECh. 15.9 - Prob. 2MRECh. 15.9 - Prob. 3MRECh. 15.9 - Prob. 4MRECh. 15.9 - Prob. 5MRECh. 15.9 - Prob. 6MRECh. 15.9 - Prob. 7MRECh. 15.9 - Prob. 8MRECh. 15.9 - Prob. 1CECh. 15.9 - Prob. 2CECh. 15.9 - Prob. 3CECh. 15.9 - Prob. 4CECh. 15.9 - Prob. 5CECh. 15.9 - Prob. 6CECh. 15.9 - Prob. 1.1ECh. 15.9 - Prob. 1.2ECh. 15.9 - Prob. 1.3ECh. 15.9 - Prob. 1.4ECh. 15.9 - Prob. 1.5ECh. 15.9 - Prob. 1.6ECh. 15.9 - Prob. 2.1ECh. 15.9 - Prob. 2.2ECh. 15.9 - Prob. 2.3ECh. 15.9 - Prob. 2.4ECh. 15.9 - Prob. 2.5ECh. 15.9 - Prob. 2.6ECh. 15.9 - Prob. 2.7ECh. 15.9 - Prob. 2.8ECh. 15.10 - Prob. 1OECh. 15.10 - Prob. 2OECh. 15.10 - Prob. 3OECh. 15.10 - Prob. 4OECh. 15.10 - Prob. 5OECh. 15.10 - Prob. 1WECh. 15.10 - Prob. 2WECh. 15.10 - Prob. 3WECh. 15.10 - Prob. 4WECh. 15.10 - Prob. 5WECh. 15.10 - Prob. 6WECh. 15.10 - Prob. 7WECh. 15.10 - Prob. 8WECh. 15.10 - Prob. 9WECh. 15.10 - Prob. 10WECh. 15.10 - Prob. 11WECh. 15.10 - Prob. 12WECh. 15.10 - Prob. 13WECh. 15.10 - Prob. 14WECh. 15.10 - Prob. 15WECh. 15.10 - Prob. 16WECh. 15.10 - Prob. 17WECh. 15.10 - Prob. 1STCh. 15.10 - Prob. 2STCh. 15.10 - Prob. 3STCh. 15.10 - Prob. 1ECh. 15.10 - Prob. 2ECh. 15 - Prob. 1CRCh. 15 - Prob. 2CRCh. 15 - Prob. 3CRCh. 15 - Prob. 4CRCh. 15 - Prob. 5CRCh. 15 - Prob. 6CRCh. 15 - Prob. 7CRCh. 15 - Prob. 8CRCh. 15 - Prob. 9CRCh. 15 - Prob. 10CRCh. 15 - Prob. 11CRCh. 15 - Prob. 12CRCh. 15 - Prob. 1CTCh. 15 - Prob. 2CTCh. 15 - Prob. 3CTCh. 15 - Prob. 4CTCh. 15 - Prob. 5CTCh. 15 - Prob. 6CTCh. 15 - Prob. 7CTCh. 15 - Prob. 8CTCh. 15 - Prob. 9CTCh. 15 - Prob. 10CTCh. 15 - Prob. 11CT
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