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: 15

Answer

$243$

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 1st question can be chosen in 3 ways. 2. The 2nd question can be chosen in 3 ways. 3. The 3rd question can be chosen in 3 ways. 4. The 4th question can be chosen in 3 ways. 5. The 5th question can be chosen in 3 ways. Applying the Principle, the total number of different orders is 3$\times$3$\times$3$\times$3$\times$3=$243$
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