Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 6 - Section 6.1 - The Basics of Counting - Exercises - Page 397: 36

Answer

$2^{n}$ functions

Work Step by Step

The domain of the function contain n elements . The co domain of the function contain 2 elements . For any function each element in domain must have either of the 2 images so we have total number of functions = 2$\times$2....(n times) = $2^{n}$
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