Answer: The exercise relates to inhabitants of an island

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

ISBN: 9780073383095 37

Solution for problem 29E Chapter 1.2

Discrete Mathematics and Its Applications | 7th Edition

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Problem 29E

The exercise relates to inhabitants of an island on which there are three kinds of people: Knights who always tell the truth, knaves who always lie, and spies (called normals by Smullyan [Sm78]) who can either lie or tell the truth. You encounter three people A, B, and C. You know one of these people is a knight, one is a knave and one is a spy. Each of these three people knows the type of person each of other two is. For each of those situations, if possible, determine whether there is a unique solution and determine who the knave, knight and spy are. When there is no unique solution, list all possible solutions or state that there are no solutions.A says “I am the knight,” B says “I am the knight.” and C says “I am the knight.”

Step-by-Step Solution:

Step 1 of 3

Solution:Step1Given that There are three kinds of people in an island on which Knights who always tell the truth, knaves who always lie, and spies who can either lie or tell the truth. Three people are A, B, and C. we know one of these people is a knight, one is a knave and one is a spy. Each of these three people knows the type of person each of other two is.Step2We have to determine whether there is a unique solution and who the knave, knight and spy are. When there is no unique solution, list all possible solutions or state that there are no solutions.Step3We haveA saying “I am the knight,” B saying “I am the knight.” and C saying “I am the knight.”Here we are not able to find who all are the knave, knight and spy.Therefore, this situation have no solutions.

Step 2 of 3

Chapter 1.2, Problem 29E is Solved

Step 3 of 3

Textbook: Discrete Mathematics and Its Applications

Edition: 7

Author: Kenneth Rosen

ISBN: 9780073383095

This full solution covers the following key subjects: knight. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. The answer to “The exercise relates to inhabitants of an island on which there are three kinds of people: Knights who always tell the truth, knaves who always lie, and spies (called normals by Smullyan [Sm78]) who can either lie or tell the truth. You encounter three people A, B, and C. You know one of these people is a knight, one is a knave and one is a spy. Each of these three people knows the type of person each of other two is. For each of those situations, if possible, determine whether there is a unique solution and determine who the knave, knight and spy are. When there is no unique solution, list all possible solutions or state that there are no solutions.A says “I am the knight,” B says “I am the knight.” and C says “I am the knight.”” is broken down into a number of easy to follow steps, and 140 words. The full step-by-step solution to problem: 29E from chapter: 1.2 was answered by , our top Math solution expert on 06/21/17, 07:45AM. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. Since the solution to 29E from 1.2 chapter was answered, more than 330 students have viewed the full step-by-step answer.