Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 13 - Voting and Apportionment - 13.1 Voting Methods - Exercise Set 13.1: 11

Answer

Since a comedy received the most points, a comedy is selected using the Borda count method.

Work Step by Step

With the Borda count method, each candidate receives 1 point for each last place vote, 2 points for each second-to-last-place vote, and so on. The candidate which receives the most points is declared the winner. We can find the total points for each candidate. comedy: 3(6+4) + 2(10+6) + 1(2+2) = 66 points drama: 3(6+2) + 2(4+2) + 1(10+6) = 52 points musical: 3(10+2) + 2(6+2) + 1(6+4) = 62 points Since a comedy received the most points, a comedy is selected using the Borda count method.
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