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 398: 70

Answer

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Work Step by Step

A truth table is simply a boolean function of n variables. Since we have $2^{n}$ rows in each truth table and for outcome in each row we have 2 choices (T or F). Hence by product rule we have $2^{2^{n}}$ different truth tables.
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