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: 19

Answer

10 integers

Work Step by Step

For the numbers between 100 and 999, there are only 9 numbers that share no equivalent digits in them: 111,222,333,444,555,666,777,888, and 999. A total of 9 numbers. Therefore, if we pick one more number, it would have to start with one of the previous integers chosen (therefore sharing a common digit). So we would have to choose a minimum 10 digits to assure this.
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