Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 1 - Problem Solving and Critical Thinking - 1.3 Problem Solving - Exercise Set 1.3: 30

Answer

10 ways

Work Step by Step

We have 5 different people, and we need to select 2 speakers for an event. For convenience, we'll refer to those people as A, B, C, D and E. If we select A, we can select either B, C, D or E to go as well, which means that there are 4 ways to select the members so that A goes. If we don't select A, and we select B, we can select C, D or E to go as well, which means that there are 3 ways to select the members so that A doesn't go and B goes. If neither A nor B goes, we can pair C and D, C and E or D and E, giving us the last 3 ways. This gives us a total of $4+3+3=10$ ways to select the speakers.
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