The members of Math Club are to choose a representativeamong four candidates, M, A, T, H. The following table shows the result of the election.Number of votes18 122First ChoiceHAHSecond ChoiceAHAMThird ChoiceAMHTHFourth ChoiceHAМ МA1. How many voters choose A as their first choice?2. Who won the election by plurality?

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Answered: The members of Math Club are to choose…

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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First Profile # of Voters C>D>B>A A>B>D>C Second Profile Ranking #of Ranking A 22-member committee is selecting a site for its next meeting. The choices are City A, City B, City C, and City D. Voters 7 C>D>B>A A>B>D>C A>B>C>D C>A>D>8 6. 5 A>B>C>D 5 4 D>C>B>A 4 (a) The committee members decide to use the pairwise comparison method to select a site in a nonbinding decision. Prior to any discussion, the 22 members rank the choices according to the first voter profile above. Show that City C is selected by the pairwise comparison method in the preliminary nonbinding decision. Complete the table below to demonstrate this. City A. Pairwise Comparison Points O (Type integers or decimals.) (b) The 4 committee members with the bottom ranking in the table rearrange their ranking after listening to the discussions. The other 18 committee members stick with their original rankings of the cities. For the official vote, the 22 members rank the choices according to the second voter profile above.…
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
Use the Bucklin voting method to determine the winner and compare it to the plurality method. Who wins the Bucklin vote and the single candidate vote? There are 7 voters and the candidates need 4 votes to win. There are 5 candidates for the house of representatives and you have to rank them by preference. Voters A B D E F G Emilio | Hannah Richard Melissa Howard Howard Emilio Howard 1st 2nd Howard Hannah Emilio Emilio Richard Melissa 3rd Melissa Emilio Melissa Richard Richard Hannah Richard 4th Hannah Richard Emilio Howard Hannah Emilio Howard 5th Richard Melissa Howard Hannah Melissa Melissa Hannah a Bucklin method: Howard wins with 5, Plurality: There is no winner b Bucklin method: Melissa wins with 4, Plurality: There is no winner Bucklin method: Richard wins with 4, Plurality: There is no winner d. Bucklin method: Emilio wins with 5, Plurality: There is no winner O000
Consider the scenario of three candidates, A, B, and C, who are running for president of the student council. Determine the winner using the Borda count method. Number of Votes 50 65 60 First Choice ACC Second Choice BBA Third Choice CAB The winner is The winner received points.

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