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Get Full Access to Discrete Mathematics And Its Applications - 7 Edition - Chapter 1.2 - Problem 27e
Get Full Access to Discrete Mathematics And Its Applications - 7 Edition - Chapter 1.2 - Problem 27e

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# The exercise relates to inhabitants of an | Ch 1.2 - 27E

ISBN: 9780073383095 37

## Solution for problem 27E Chapter 1.2

Discrete Mathematics and Its Applications | 7th Edition

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Problem 27E

Problem 27E

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 “A is telling the truth.” and C says “I am the spy.”

Step-by-Step Solution:

Solution:

Step 1:

In this problem we need to determine who the knave , knight and spy are .

Given : A says that “ I am the knight ” , B says “ A is telling the truth ” and C says “ I am the spy”. Also given that  Knight  who always tell  the truth , knaves  who always lie , and spies who can either lie or tell the truth.

Step 2 of 2

##### ISBN: 9780073383095

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 “A is telling the truth.” and C says “I am the spy.”” is broken down into a number of easy to follow steps, and 141 words. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. The full step-by-step solution to problem: 27E 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 full solution covers the following key subjects: knight, spy, Telling, truth. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. Since the solution to 27E from 1.2 chapter was answered, more than 341 students have viewed the full step-by-step answer.

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