Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 10 - Section 10.6 - Counting Principles, Permutations, and Combinations - Exercise Set - Page 1103: 33


Total number of ways to answer the questions equals to 243.

Work Step by Step

We know that the situation involves making choices with five questions. We use the fundamental counting principle to find the number of ways to answer the questions on the test. Multiply the number of choices for each of the five questions. That is, $\begin{align} & 3\times 3\times 3\times 3\times 3={{3}^{5}} \\ & =243 \end{align}$ Hence, there are 243 different ways to answer the question.
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