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: 14

Answer

The answer to both is $31$.

Work Step by Step

There are $30$ of each odd and even integers in this set. We need to pick 1 more than this to be sure we have at least one that is odd and one is even, as otherwise, we could just pick all of one parity.
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