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 405: 16

Answer

5

Work Step by Step

The pigeons are {1,3,5,7,9,11,13,15} and the pigeonholes are {(1,15), (3,13), (5,11), (7,9)}. We need to find the least positive integer N such that $\left \lceil{\frac{N}{4}}\right \rceil $=2, so N=5.
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