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: 27

Answer

$3^{50}$ ways to form a committee.

Work Step by Step

We have to select 1 representative from each of the 50 states . This representative can be selected from a group of 3 people (governor or 2 senators from the state). So we have total ways for forming a committee are 3$\times$3....(50 times) = $3^{50}$.
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