Use the Condorcet method to determine the winner of the election. Four students are running for president of the school:• Ariana (A),• Brett (B),•• DeeDee (D).The 5 clubs and their members were asked to rank all candidates.Number of Voters1915Carlos (C), andσO O O OndABсD1172Preference Order 1st to lastсDBссDAAAACDDAсDBolmalıBBB

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Answered: Use the Condorcet method to determine…

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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Last year at a certain high school, 11 students sought the nomination for president of the student body. In how many ways could the voters (student body) rank their first 4 choices?
A campus club needs to elect four officers: a president, a vice president, a secretary, and a treasurer. The club has five volunteers. Rather than vote individually for each position, the club members will rank the candidates in order of preference. The votes will then be tallied using the Borda Count method. The candidate receiving the highest number of points will be president, the candidate receiving the next highest number of points is vice president, the candidate receiving the next highest number of points is secretary, and the candidate receiving the next highest number of points will be treasurer. Rankings Cynthia 4 2 5 2 3 Andrew 2 3 1 4 5 Jen 5 1 2 3 2 Hector 1 5 4 1 4 Medin 3 4 3 5 1 Number of votes: 9 12 25 24 23 For the preference schedule shown, determine who wins each position in the club. president vice president secretary treasurer
If 107 votes are cast, what is the smallest number of votes a winning candidate can have in a four-candidate race that is to be decided by plurality?
Determine the number of winning coalitions in the weighted voting system [100: 50, 45, 45, 3].
A senior high school class held an election for class president. Instead of just voting for one candidate, the students were asked to rank all four candidates in order of preference: The results are shown in the table below.
Consider an election with 589 votesa) If there are 6 candidates, what is the smallest number of first-place votes a candidate could win with under the Plurality method? votesb) If there are 7 candidates, what is the smallest number of first-place votes a candidate could win with under the Plurality method? votes
The city of Raleigh has 8600 registered voters. There are two candidates for city council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of 300 randomly selected registered voters was conducted. 125 said they'd vote for Brown, 146 said they'd vote for Feliz, and 29 were undecided. Based on the telephone poll, how many people would you expect to vote for Brown?Round your answer to the nearest whole person
A senior high school class held an election for class president. Instead of just voting for one candidate, the students were asked to rank all four candidates in order of preference. The results are shown in the table below. Rankings Raymond Lee 2 3 1 3 4 2 Suzanne Brewer 4 1 3 4 1 3 Elaine Garcia 1 2 2 2 3 4 Michael Turley 3 4 4 1 2 1 Number of votes: 26 21 22 23 19 24 Using the Borda Count method, which student should be class president? Raymond Lee Suzanne Brewer Elaine Garcia Michael Turley
Four candidates, Lito, Quennie, Kyleigh, and Irish are running for president of the student government. After the polls close, votes are tallied, and the results in the table below are obtained. Candidate Lito Quennie Kyleigh IrishNumber of Votes 314 155 1,052 479 How many votes were cast? Using the plurality method of voting, who wins the election?Did the winner receive a majority of the votes? Why?
The board of directors of a pharmaceutical corporation has 10 members. An upcoming stockholders' meeting is scheduled to approve a new slate of company officers (chosen from the 10 board members) How many different slates consisting of a president, vice president, secretary, and treasurer can the board present to the stockholders for their approval?
SUPPOSE THE 18 MEMBERS ON THE BOARD OF THE PROVINCE OF BATANGAS ARE SELECTED ACCORDING TO THE POPULATIONS OF THE 3 CITIES AND 2 BIG TOWNS AS SHOWN BELOW. A. USE THE HAMILTON METHOD TO DETERMINE THE NUMBER OF BOARD MEMBERS EACH CITY AND MUNICIPALITY SHOULD HAVE. B. USE THE JEFFERSON METHOD TO DETERMINE THE NUMBER OF BOARD MEMBER EACH CITY AND MUNICIPALITIES SHOULD HAVE City - Population Batangas - 2,694,335 Tanauan - 173,400 Lipa - 332,386 Lemery - 93,157 Taal - 56,327
The 9 members of the Town Board must decide where to build a new post office. Their three choices are Lehigh Road (L), Erie Road (E), and Ontario Road (O). The preference table follows to the right. Determine the winner using the pairwise comparison method. Number of Ballots Number of votes 4 2 3 First E O L Second O L O Third L E E Choose the correct answer below. A. Lehigh B. Erie C. Ontario D. There is no winner. There is a tie between Ontario and Erie. E. There is no winner. There is a three-way tie.

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