Thinking Mathematically (6th Edition)

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

Chapter 11 - Counting Methods and Probability Theory - 11.1 The Fundamental Counting Principle - Exercise Set 11.1: 12

Answer

24

Work Step by Step

The number of ways in which a series of successive things can occur is found by multiplying the number of ways in which each thing can occur. ---------- 1. The path from A to B can be chosen in 3 ways. 2. The path from B to C can be chosen in 2 ways. 3. The path from C to D can be chosen in 4 ways. Applying the Principle, the total number of routes from A to D is 3$\times$2$\times$4$=24$
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