Thinking Mathematically (6th Edition)

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

Chapter 11 - Counting Methods and Probability Theory - Chapter Summary, Review, and Test - Review Exercises - Page 758: 5

Answer

$243$ ways.

Work Step by Step

The Fundamental Counting Principle: 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 change in the 1st stock has 3 ways of occurring. 2. The change in the 2nd stock has 3 ways of occurring. 3. The change in the 3rd stock has 3 ways of occurring. 4. The change in the 4th stock has 3 ways of occurring. 5. The change in the 5th stock has 3 ways of occurring. Total ways = $3\times 3\times 3\times 3\times 3=3^{5}= 243$ ways.
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