Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 1 - Section 1.2 - Applications of Propositional Logic - Exercises - Page 23: 29

Answer

There are no unique solutions.

Work Step by Step

Person A says "I am the knight," B says "I am the knight," and C says "I am the knight." One of them must be telling the truth. Without loss of generality, let's say A is the knight. Then either B or C is lying by choice and the other is lying because they are the knave. As long as one of them is a knight, one is a knave, and one is the spy, each of A, B, and C can be any of the positions.
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