Suppose that you meet three people, Anita, Boris, and

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

ISBN: 9780073383095 37

Solution for problem 14E Chapter 1.SE

Discrete Mathematics and Its Applications | 7th Edition

Textbook Solutions
2901 Step-by-step solutions solved by professors and subject experts
Get 24/7 help from StudySoup virtual teaching assistants

Discrete Mathematics and Its Applications | 7th Edition

4 5 1 288 Reviews

Problem 14E

Suppose that you meet three people, Anita, Boris, and Carmen. What are Anila, Boris, and Carmen if Anila says "I am a knave and Boris is a knight" and Boris says "Exactly one of the three of us is a knight"?

Step-by-Step Solution:

Solution:

Step 1:

In this problem we need to determine what exactly they are.

Given: Anita says “I am a knave and Boris is a knight” and Boris says “Exactly one of the three of us is a knight”.

We know that knight always tell the truth and knave always tell the lie.

Let us assume that, Anita says “I am a knave and Boris is a knight” is true.

So, Anita is a knave.But we know that knave always tell the lie.So, the second statement Boris is a knight is false.

Hence, Boris must be a knave.

Therefore, Anita is a knave and Boris is a knave.

Step 2 of 3

Chapter 1.SE, Problem 14E is Solved

Step 3 of 3

Textbook: Discrete Mathematics and Its Applications

Edition: 7

Author: Kenneth Rosen

ISBN: 9780073383095

Since the solution to 14E from 1.SE chapter was answered, more than 870 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 14E from chapter: 1.SE was answered by , our top Math solution expert on 06/21/17, 07:45AM. The answer to “Suppose that you meet three people, Anita, Boris, and Carmen. What are Anila, Boris, and Carmen if Anila says "I am a knave and Boris is a knight" and Boris says "Exactly one of the three of us is a knight"?” is broken down into a number of easy to follow steps, and 41 words. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. This full solution covers the following key subjects: Boris, anila, knight, carmen, knave. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095.