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: 29

Answer

Makes sense.

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. ------------ We want to see in how many ways we can choose the 1st answer, the 2nd answer, the 3rd answer, ... the 10th answer, the 11th answer. Since this is a series of successive choices, we apply the FTC. The answer to each of the questions is 2 (either T or F). The total is $2\times 2\times...\times 2=2^{11}=2048$ The statement makes sense.
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