Head-to-Head Criterion and Plurality with EliminationBelow are 4 candidates and the result from an election.Find the winner using the pairwise method and determine if the winner is also theCondorcet winner.Determine if the plurality with elimination method violates the head-to-head criterion.Number of Votes20161261st choiceACDВ2nd choiceBBCD3rd choiceCDB4th choiceDAAA1. How many votes are needed to win the majority?Below are all of the different head-to-head possibilities. Fill in the chart.2016126Winner in Head-to-HeadA vs BA vs CA vs DB vs CB vs DC vs D2. Who is the head-to-head winner? How does the candidate win the head-to-head?3. Is there a majority from the start?4. Determine the winner using the plurality with elimination method.The candidate who gets eliminated isThe number of votes the candidate received are:5. What does the chart look like now? Fill in the chart below.Number of Votes20161261st choice2nd choice3rd choice6. Is there a majority winner? If no, who gets eliminated?7. What does the chart look like now? Fill in the chart below.Number of Votes20161261st choice2nd choice8. Is there a majority winner? If so, how many votes did they receive?9. What can you say about the head-to-head criterion? Determine whether or not theplurality with elimination method violates the head-to-head criterion.Write your response below:

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Answered: Head-to-Head Criterion and Plurality…

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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A student is taking a multiple-choice exam in which each question hasfive choices. Assuming that she has no knowledge of the correct answers to any of the questions, she has decided on a strategy in which she will place five balls (marked A, B, C, D, and E) into a box. She randomly selects one ball for each question and replaces the ball in the box. The marking on the ball will determine her answer to the question. There are six multiple-choice questions on the exam. What is the probability that she will get six questions correct?
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.
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