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High School Math Algebra Algebra and Trigonometry: Structure and Method, Book 2

The number of display signals that can be made by displaying five flags all at one time on flagpole.

The number of display signals that can be made by displaying five flags all at one time on flagpole.

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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Question

Chapter 15.6, Problem 21WE

To determine

To find: The number of display signals that can be made by displaying five flags all at one time on flagpole.

Expert Solution & Answer

Answer to Problem 21WE

Thenumber of signals is 30 .

Explanation of Solution

Given:

The flagpole differ only in colour, two red, two white and one blue.

Calculation:

Consider the number of colour is 5, two red, two white and one blue.

Consider that for a set of n elements that has n1 element of one kind and n2 element of the other kind and so on then the number of permutation of n object taken n at a time is,

P=n!n1!n2!....

Then, the number of signals that can be made is,

P=5!2!2!1!=5×4×3×2×1(2×1)(2×1)(1)=30

Thus, the number of signals is 30 .

Chapter 15.6, Problem 20WE

Chapter 15.6, Problem 22WE

Chapter 15 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 15.1 - Prob. 1OE Ch. 15.1 - Prob. 2OE Ch. 15.1 - Prob. 3OE Ch. 15.1 - Prob. 4OE Ch. 15.1 - Prob. 5OE Ch. 15.1 - Prob. 6OE Ch. 15.1 - Prob. 7OE Ch. 15.1 - Prob. 8OE Ch. 15.1 - Prob. 1WE Ch. 15.1 - Prob. 2WE

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

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