Applied Statistics and Probability for Engineers, 6th Edition

Published by Wiley
ISBN 10: 1118539710
ISBN 13: 978-1-11853-971-2

Chapter 2 - Section 2-1 - Sample Spaces and Events - Exercises - Page 28: 2-34



Work Step by Step

Every switch has 2 options, up and down. So, each switch can have two outcomes. There are 12 such switches, and there are $2 \times 2 \times ... \times 2=2^{12}$ possible outcomes. Therefore, there are $2^{12}=4096$ possible outcomes of the code.
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