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: 38

Answer

10 handshakes

Work Step by Step

Let's look at the handshakes of each person, one by one, without mentioning the same handshake twice. Person 1 shakes hands with person 2, 3, 4, and 5. Person 2 also shakes hands with person 3, 4, 5. Person 3 also shakes hands with person 4, 5. Person 4 and person 5 shake hands. The total number of exchanged handshakes is $4+3+2+1=10$.
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