Explanation Voting method use: Plurality with Elimination: 1. Each voter votes for one candidate. 2. If a candidate receives a majority of votes, that candidate is declared the winner of the election. 3. If no candidate receives a majority, eliminate the candidate with the fewest votes and hold another election (if there is a tie for the fewest votes, eliminate all candidates tied for the fewest votes). 4. Repeat this process until a candidate receives a majority. Given: The plurality with elimination method is used and the candidate with the most last place votes is eliminates at each step, when the 12 members of the executive committee of the Student Senate must vote for a student representative for the college board of trustees from among three candidates Brownstein (B), Samuels(S), and Marquez (M). The preference table follows, Number of votes 5 1 4 2 First B S M M Second S M B S Third M B S B Calculation: Given that the total number of votes is 12, means that the minority out of 12 votes is 5 or less votes. Now, first count the number of last place votes for each candidates. The last place votes for (B): 1 + 2 = 3 , ( S ) : 4 and ( M ) : 5

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Author: Angel

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Chapter 14.1, Problem 31E

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Chapter 14.1, Problem 30E

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Chapter 14 Solutions

SURVEY OF MATHEMATICS - 24 MONTH MML CO

Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - Prob. 5E Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - Prob. 7E Ch. 14.1 - Prob. 8E Ch. 14.1 - Plurality Three candidates are running for mayor...Ch. 14.1 - Prob. 10E

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The winner using the Plurality with elimination voting method.

Solution Summary: The author explains how the plurality with elimination voting method is used to determine the winner.

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