There are 5 people for teacher of the year at a school. Below is the preferred schedule forthe choices of:• A (Allen),. в (Betty),. С (Charlie),• D (David),• E (Ean).Use the plurality with elimination or IRV to determine the winner.9Votes1st choice12735DВEВB2nd choice3rd choiceEAAE4th choice5th choiceADADDABEBABВDDEE1. The total number of votes are2. The teacher who gets eliminated is3. What does the new preference schedule look like after the teacher gets eliminated?Votes12736951st choice2nd choice3rd choice4th choice5th choice4. Is there a majority winner now? If not, who has the most 1st place votes now, and howmany the 1* place votes does that candidate have?5. The teacher who gets eliminated is6. What does the new preference schedule look like after the teacher gets eliminated?Votes12736951st choice2nd choice3rd choice4th choice5th choice7. Is there a majority winner now? If not, who has the most 1st place votes now, and howmany the 1 place votes does that candidate have?8. The teacher who gets eliminated is9. What does the new preference schedule look like after the teacher gets eliminated?Votes1st choice12736952nd choice3rd choice4th choice5th choice10. Is there a winner now? If so, how many votes do they have?

Plurality-with-elimination or Instant Runoff Voting: Step 1: Count first-place votes. If the…

Answered: There are 5 people for teacher of the…

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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There are 4 Biomedical Engineering and 4 Electronics Engineering students running for a student clubelection for 3 empty positions in club board.a. If all of them have an equal chance to be elected, how many different student club boards can beselected? b. If 2 biomedical engineering and 1 electronics engineering students must be in the club board,how many different boards can be selected? c. If Mehmet from Biomedical Engineering and Ali from Electronics Engineering should not be in thesame board, how many different boards can be selected?
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
There are 4 Biomedical Engineering and 4 Electronics Engineering students running for a student clubelection for 3 empty positions in club board.a. If all of them have an equal chance to be elected, how many different student club boards can beselected? b. If 2 biomedical engineering and 1 electronics engineering students must be in the club board,how many different boards can be selected?
If there are 7 players who are voting in a weighted system, how many sequential coalitions exist? Group of answer choices 720 128 127 5,040
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?
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?
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.
In an election with 7 candidates, how many pairwise comparisons would need to be made in the Method of Pairwise Comparisons?
Cornwall and Hudson, a large retail department store, wants to handle just one brand of MP3 player. The list has been narrowed to two brands: Sony and Panasonic. To help make a decision, a panel of 16 audio experts met. A music track using the Sony player was played. Then the same track was played using the Panasonic player. A “+” in the following table indicates an individual’s preference for the Sony player, a “−” indicates preference for the Panasonic player, and a 0 signifies no preference. Expert 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 + − + − + + − 0 − + − + + − + − Conduct a test of hypothesis at the .10 significance level to determine whether there is a difference in preference between the two brands.
You must choose an elective for your fourth block class. You can choose from 3 different physical education classes, 4 different computer classes or 2 different culinary classes. How many different possible selections could you make for his first period elective?
The Adobe School District is hiring a vice principal and has interviewed four candidates: Anna (A), Bono (B), Clark (C), and David (D). The hiring committee has indicated their preferences. (ACDB) (CBAD) (BCDA) (DBCA) 8, 1, 3, 6 Who is the winner using the plurality method?
The Science club is selecting its representative for a competition. The members rank the 4 candidates given in the preference table below: Votes 2 6 8 3 1st Berlin Anton Charles Charles 2nd Charles Berlin Berlin Berlin 3rd Dianne Charles Anton Dianne 4th Anton Dianne Dianne Anton Who is the Condorcet winner? Group of answer choices Dianne Berlin Charles no winner Anton

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