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For items 1-10, consider the following: 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 3 2 2 MAHT A M First Choice H T Second Choice M A T H Third Choice A M H T T H Fourth Choice H A M M А 1. How many voters choose A as their first choice? 2. Who won the election by plurality? 3. Using the Borda count method and assigning 4 points for the first choice, 3 points for the second choice, 2 points for the third choice and 1 point for the fourth choice, how many points T have received? 4. Using the Borda count method and assigning 4 points for the first choice, 3 points for the second choice, 2 points for the third choice and 1 point for the fourth choice, how many points H have received? 5. Who won the election by Borda count method? 6. Using the plurality with elimination method, who is the candidate to be eliminated in the first round (candidate with the least number of first place votes)? 7. Using the plurality with elimination method, who is the candidate to be eliminated in the second round? 8. Who won the election by plurality with elimination method? 9. Using pairwise comparison method, who won between candidate M and candidate A? 10. Who won the election using the pairwise comparison method?

For items 1-10, consider the following: 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 3 2 2 MAHT A M First Choice H T Second Choice M A T H Third Choice A M H T T H Fourth Choice H A M M А 1. How many voters choose A as their first choice? 2. Who won the election by plurality? 3. Using the Borda count method and assigning 4 points for the first choice, 3 points for the second choice, 2 points for the third choice and 1 point for the fourth choice, how many points T have received? 4. Using the Borda count method and assigning 4 points for the first choice, 3 points for the second choice, 2 points for the third choice and 1 point for the fourth choice, how many points H have received? 5. Who won the election by Borda count method? 6. Using the plurality with elimination method, who is the candidate to be eliminated in the first round (candidate with the least number of first place votes)? 7. Using the plurality with elimination method, who is the candidate to be eliminated in the second round? 8. Who won the election by plurality with elimination method? 9. Using pairwise comparison method, who won between candidate M and candidate A? 10. Who won the election using the pairwise comparison method?

Advanced Engineering Mathematics
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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8,9 and 10

For items 1-10, consider the following: 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 3 2 First Choice H T M A H T Second Choice M A T H A Third Choice A M H T H Fourth Choice T H A M M A 1. How many voters choose A as their first choice? 2. Who won the election by plurality? 3. Using the Borda count method and assigning 4 points for the first choice, 3 points for the second choice, 2 points for the third choice and 1 point for the fourth choice, how many points T have received? 4. Using the Borda count method and assigning 4 points for the first choice, 3 points for the second choice, 2 points for the third choice and 1 point for the fourth choice, how many points H have received? 5. Who won the election by Borda count method? 6. Using the plurality with elimination method, who is the candidate to be eliminated in the first round (candidate with the least number of first place votes)? 7. Using the plurality with elimination method, who is the candidate to be eliminated in the second round? 8. Who won the election by plurality with elimination method? 9. Using pairwise comparison method, who won between candidate M and candidate A? 10. Who won the election using the pairwise comparison method?
Transcribed Image Text:For items 1-10, consider the following: 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 3 2 First Choice H T M A H T Second Choice M A T H A Third Choice A M H T H Fourth Choice T H A M M A 1. How many voters choose A as their first choice? 2. Who won the election by plurality? 3. Using the Borda count method and assigning 4 points for the first choice, 3 points for the second choice, 2 points for the third choice and 1 point for the fourth choice, how many points T have received? 4. Using the Borda count method and assigning 4 points for the first choice, 3 points for the second choice, 2 points for the third choice and 1 point for the fourth choice, how many points H have received? 5. Who won the election by Borda count method? 6. Using the plurality with elimination method, who is the candidate to be eliminated in the first round (candidate with the least number of first place votes)? 7. Using the plurality with elimination method, who is the candidate to be eliminated in the second round? 8. Who won the election by plurality with elimination method? 9. Using pairwise comparison method, who won between candidate M and candidate A? 10. Who won the election using the pairwise comparison method?
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