69Number of voters1st choice2nd choice3rd choice4th choice35How many votes were cast?OAOCOD9 12 12 20ABOАWinner isDCwith00000CBADCHow many votes are needed for a majority?O No candidate has a majority.ZUAB0Be АCDDoes any candidate have a majority of first-place votes?pointsDDCABFind the winner under the Borda Count. Use the count that assigns 1 point to last place.сIrrelevant Alternatives CriterionMajority Criterion16Monotonicity CriterionHead-to-Head CriterionNo fairness criterion was violatedDUBAWhich fairness criteria, if any, were violated using the Borda Count?Check all that apply

As per guidelines,we supposed to solve first three subparts only.I am giving first four.

Answered: 69 Number of voters 1st choice 2nd…

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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WRITE P IF PERMUTATION, WRITE C IF COMBINATION, WRITE FC IF FUNDAMENTAL COUNTING PRINCIPLE Forming a committee of 3 girls and 2 boys from a class of 30 with 17 boys and 13 girls. A model selecting her outfit from 5 blouses, 4 skirts and 3 blazers. Choosing a drink and pastry combination from 5 drinks and 3 pastries in the counter.
Approval Voting Method
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 =
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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
Determines who wins the plurality vote and who wins the rank voting or preferential voting method in the election. 1. There are 650 students in a school, and they all get to vote for the school president. There are 3 candidates: Rios, • Millie, • Charles. Each student will receive a ballot and they will rank the candidates in or of 1", 2nd, and 3rd choice. Remember on the preferential vote the winning candidate must have 1 more than half the votes. See the results of the election below. Votes 225 175 250 225 1¹ Millie Charles Rios 250 and a. The person who has the largest number of first place votes is b. The person who has the fewest number of first place votes is c. The candidate we eliminate is d. Fill in the new table. 1 Charles Millie Millie Rios Rios Charles 2rd Is there a majority of votes for a candidate now? If yes, who is that candidate, and how many the first place votes does that candidate have? f. Who won the plurality vote or single candidate voting method? Explain how…
number of voters 2 1 9 6 8 4 1st choice B B A C C D second choice C A C D B A third choice A D D B D B fourth choice D C B A A C
Number of voters 6 12 16 1st choice C B A D 2nd choice B A C B 3rd choice D C D A 4th choice A D B C Find number of points Candidate C receives under Pairwise Comparison (Copeland's Method) Points = Find the winner of this election under Pairwise Comparison (Copeland's Method) Winner 10 n 08
The members of Math Club are to choose a representative among four candidates, M, A, T, H. The following table shows the result of the election. Number of votes 18 12 2 First Choice H A H Second Choice A H A M Third Choice A M H T H Fourth Choice H A М М A 1. How many voters choose A as their first choice? 2. Who won the election by plurality?

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