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Solution: Relate to inhabitants of the island of knights and

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 22E Chapter 1.2

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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Problem 22E

Relate to inhabitants of the island of knights and knaves created by Smullyan, where knights always tell the truth and knaves always lie. You encounter two people, A and B. Determine, if possible, what A and B are if they address you in the ways described. If you cannot determine what these two people arc, can you draw any conclusions?Both A and B say “I am a knight.”

Step-by-Step Solution:

SolutionStep 1In this problem we have to find who A and B are.Given: Knights always tell the truth and Knaves always lie.Both A and B say “I am a knight.”Since knight always tells the truth.We get A and B are knight.But that is not possible because one will be knight and the other will be knave.Therefore by the given statement we cannot determine what these two people are.We can conclude that it is possible for either A or B to be either a knight or a knave.

Step 2 of 3

Chapter 1.2, Problem 22E is Solved
Step 3 of 3

Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

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Solution: Relate to inhabitants of the island of knights and