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 1.3 - Propositional Equivalences - Exercises - Page 35: 41

Answer

(p /\ q /\ -.r) V (p /\ -.q /\ r) V (-.p /\ q /\ r).

Work Step by Step

There are three ways in which exactly two of p, q, and r can be true. We write down these three possibilities as conjunctions and join them by V to obtain the answer (p /\ q /\ -.r) V (p /\ -.q /\ r) V (-.p /\ q /\ r).
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.

GradeSaver will pay $15 for your literature essays
GradeSaver will pay $25 for your college application essays
GradeSaver will pay $50 for your graduate school essays – Law, Business, or Medical
GradeSaver will pay $10 for your Community Note contributions
GradeSaver will pay $500 for your Textbook Answer contributions