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: 29

Answer

$x=3$ is maximal

Work Step by Step

There are $18$ possible ages from 17 to 34. Therefore, the maximum value of $x$ that is sure to win is the least number greater than $40/18$ by the generalized pigeonhole principle, which is $3$, so the answer is $3$.
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