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# You are visiting the island described in Example 2.3.14

ISBN: 9780495391326 48

## Solution for problem 38E Chapter 2.3

Discrete Mathematics with Applications | 4th Edition

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Problem 38E

You are visiting the island described in Example 2.3.14 and have the following encounters with natives.a. Two natives A and B address you as follows:A says: Both of us are knights.B says: A is a knave.What are A and B?________________b. Another two natives C and D approach you but only C speaks.C says: Both of us are knaves.What are C and D?________________c. You then encounter natives E and F.E says: F is a knave.F says: E is a knave.How many knaves are there?________________d. Finally, you meet a group of six natives, U, V, W, X, Y, and Z, who speak to you as follows:U says: None of us is a knight.V says: At least three of us are knights.W says: At most three of us are knights.X says: Exactly five of us are knights.Y says: Exactly two of us are knights.Z says: Exactly one of us is a knight.Which are knights and which are knaves?

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Solution Step 1:We have given the encounters with natives.

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You are visiting the island described in Example 2.3.14

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