Consider the scenario of three candidates, A, B, and C, who are running forpresident of the student council. Determine the winner using the pluralitymethod.Number of Votes 506560First ChoiceCCSecond ChoiceAThird ChoiceThe winner isThe winner hasvotes for first-place.

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Answered: Consider the scenario of three…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Votes 1st 2nd 3rd 4th 30,440 Mark Fran Noel John 25,679 Mark Fran John Noel 25,123 John Fran Noel Mark 23,413 John Fran Noel Mark 12,345 Fran John Noel Mark Determine the winner using Majority rules, Plurality method, Condorcet method, Condorcet method, Hare system
Number of voters 10 4 25 13 12 1st choice C D B A D 2nd choice A B A C C 3rd choice B A D D A 4th choice D C C B B Find the winner under Plurality with Elimination (Instant Runoff Voting)Winner =
Q1
# of votes 2 2 1 3 First A B B A Second B C D B Third C D C D Fourth D A A C suppose the borda count method was used to determine the winner. Determine wether the majority criterion is satisfied. Yes or no
Candidates A, B, C, and D are competing to win an award. There are 5 voters in this election. The chart below shows the preference schedule. Voter 1 1st choice A 2nd choice B 3rd choice C 4th choice D Voter 2 B C D A Voter 3 C B D A Voter 4 D B C A Voter 5 A D C B 6. With the previous example, what is the outcome if you use the Borda count method?
Solve the problem. Which voting method always satisfies the head-to- head criterion? Borda count plurality O pairwise comparison plurality with elimination
Consider the following election. Number of Voters 16 11 12 4 1st Choice B D A B 2nd Choice A A D D 3rd Choice D B C C 4th Choice C C B A Using the Plurality Method, the winner of the election is Group of answer choices C D A B
One of the voting methods requires voters to rank all candidates from the most favorable to the least favorable. Each last-place vote receives 1 point, each next-to-last place vote 2 points, and so on. This voting method is called the _________ method. The candidate with the ______ is the winner.
Number of voters 5 9 12 17 18 1st choice B B C D A 2nd choice C D B C D 3rd choice D A A A B 4th choice A C D B C How many votes were cast?How many votes are needed for a majority?If there is a tie for first place in any of the following election counts, enter the word "tie" (without quotes) as your response.Find the winner using the Plurality method.The winner is Find the winner under the Borda Count. Use the count that assigns 1 point to last place.The winner is Find the winner using the Pairwise Comparison method.The winner is Find the winner using the Plurality-with-elimination (Instant Runoff) method.The winner is
Solve the problem. 6) A condominium association is holding an election for president of the board of directors. Each member ranks the candidates from first to third. The preference table below shows the results of the ballots with candidates Abbott (A), Blake (B), Cleary (C), and Downs (D). Number of Votes 3 6 5 8 7 4 6 6 4 First ABAACBDC C Second CABCDDBBA B C C DAA ADD DDDB B CCAB Third Fourth If the plurality method if used to determine the winner and Downs drops out, is the irrelevant alternatives criterion satisfied?
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Consider the scenario of three candidates, A, B, and C, who are running for president of the student council. Determine the winner using the plurality method. Number of Votes 50 65 60 First Choice C C Second Choice В Third Choice C A The winner is The winner has votes for first-place.