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Suppose that in a three-round obligato game, the teacher

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 10E Chapter 1.SE

Discrete Mathematics and Its Applications | 7th Edition

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

Discrete Mathematics and Its Applications | 7th Edition

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Problem 10E

Problem 10E

Suppose that in a three-round obligato game, the teacher first gives the student the proposition p →q. then the proposition ¬( p ∨ r) ∨ q, and finally the proposition q. For which of the eight possible sequences of three answers will the student pass the test?

Step-by-Step Solution:

Solution

In this question it is given that in a three round obligato game, the teacher first gives the student the preposition , then the proposition -(p,v,r) v q and finally the proposition q. We have to find out for which of the eight possible sequences of three answers will the student pass the test .

Step 1

Let T represents acceptance and F represents rejection

So the possible solutions given by a student can be

It is also given that

1.When a student accepts an assertion it is accepted as commitment.

   

2.When a student rejects an assertion its negation is added as commitment.

3.And if the student has maintained consistency in all his commitments he passes the test.

This implies that the commitment is T in all of the cases. 

Therefore  a student will pass the test for all of the eight possible sequences of three answers.

Step 2 of 1

Chapter 1.SE, Problem 10E is Solved
Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

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Suppose that in a three-round obligato game, the teacher