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 563: 2

Answer

2a). False 2b). True

Work Step by Step

2a). There wouldn’t need to be 2 of the same denomination since there is a possibility that a single card from each denomination is drawn making the statement false. 2b). By the Pigeonhole Principle, when drawing 13 cards, each from a different denomination from a 52-card deck, the 14th card drawn must match one of the 13 denominations already chosen, guaranteeing at least two cards with the same denomination, making this true.
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