Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning
ISBN 10: 0-49539-132-8
ISBN 13: 978-0-49539-132-6

Chapter 9 - Counting and Probability - Exercise Set 9.4 - Page 564: 25

Answer

Yes, $30/12 = 2.5>2$

Work Step by Step

By the generalized pigeonhole principle, since there are 30 people and 12 months, there must be at least 3 people born in the same month because $30/12 = 2.5$ and 3 is the least integer greater than or equal to this.
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