Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 6 - Section 6.2 - The Pigeonhole Principle - Exercises - Page 406: 32

Answer

At least two people get the same wages, to the pennies.

Work Step by Step

1 dollar = 100 pennies 1,000,000 dollars = 100,000,000 pennies Range of earning = 100,000,000-1 = 99,999,999 Number of worker in that range = 100,000,000 By pigeonhole principle we have [$\frac{100,000,000}{99,999,999}$] = 2 At least 2 people have same wages in pennies
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