Chapter 1 VOTING Practice Multiple Choice
Use the following preference schedule to answer questions #1 - 10:
Voters / 8 / 5 / 6 / 3 / 91st / A / A / B / C / D
2nd / B / D / C / B / B
3rd / C / C / D / A / A
4th / D / B / A / D / C
1) How many candidates are in this election?
A) 5 B) 4 C) 31 D) 16 E) None of the above.
2) How many distinct ballots were cast?
A) 5 B) 4 C) 31 D) 16 E) None of the above.
3) How many people voted in this election?
A) 5 B) 4 C) 31 D) 16 E) None of the above.
4) Using the plurality method, who is the winner?
A) A B) B C) C D) D E) None of the above.
5) Using the plurality-with-elimination method, who was eliminated 1st?
A) A B) B C) C D) D E) None of the above.
6) Using the method of pairwise comparisons, who is the winner?
A) A B) B C) C D) D E) None of the above.
7) Using the extended Borda Count ranking method, which candidate comes in last place?
A) A B) B C) C D) D E) None of the above.
8) Using the recursive plurality method, which candidate comes in second?
A) A B) B C) C D) D E) None of the above.
9) Which of the candidates was the Majority candidate?
A) A B) B C) C D) D E) None of the above.
10) Which of the candidates was the Condorcet candidate?
A) A B) B C) C D) D E) None of the above.
Chapter 1 VOTING Practice Multiple Choice
Use the following preference schedule to answer questions #1 - 10:
Voters / 8 / 5 / 6 / 3 / 91st / A / A / B / C / D
2nd / B / D / C / B / B
3rd / C / C / D / A / A
4th / D / B / A / D / C
1) How many candidates are in this election?
A) 5 B) 4 C) 31 D) 16 E) None of the above.
2) How many distinct ballots were cast?
A) 5 B) 4 C) 31 D) 16 E) None of the above.
3) How many people voted in this election?
A) 5 B) 4 C) 31 D) 16 E) None of the above.
4) Using the plurality method, who is the winner?
A) A B) B C) C D) D E) None of the above.
5) Using the plurality-with-elimination method, who was eliminated 1st?
A) A B) B C) C D) D E) None of the above.
6) Using the method of pairwise comparisons, who is the winner?
A) A B) B C) C D) D E) None of the above.
7) Using the extended Borda Count ranking method, which candidate comes in last place?
A) A B) B C) C D) D E) None of the above.
8) Using the recursive plurality method, which candidate comes in second?
A) A B) B C) C D) D E) None of the above.
9) Which of the candidates was the Majority candidate?
A) A B) B C) C D) D E) None of the above.
10) Which of the candidates was the Condorcet candidate?
A) A B) B C) C D) D E) None of the above.
HONORS DISCRETE CHAPTER 1 REVIEW
Election #1: Who is your favorite basketball player?
10 / 12 / 7 / 8 / 91st / Jordan / Lebron / Kobe / CP3 / Lebron
2nd / CP3 / Kobe / CP3 / Lebron / Jordan
3rd / Lebron / Jordan / Jordan / Jordan / CP3
4th / Kobe / CP3 / Lebron / Kobe / Kobe
1) Determine the Winner of the Election using each voting method.
Plurality
Borda Count
Plurality with Elimination
Pairwise Comparison
2) Find each method’s EXTENDED RANKING for this election.
Plurality
1st =
2nd =
3rd =
4th =
Borda Count
1st =
2nd =
3rd =
4th =
Plurality with Elimination
1st =
2nd =
3rd =
4th =
Pairwise Comparison
1st =
2nd =
3rd =
4th =
3) Check if there is a Majority or Condorcet candidate in the election.
4) Find the RECURSIVE RANKING for the election using plurality and plurality-with-elimination.
Election #2: What is your favorite type of music?
8 / 3 / 4 / 71st / Rock / Pop / Hip-Hop / Country
2nd / Country / Rock / Rock / Rock
3rd / Hip-Hop / Country / Pop / Pop
4th / Pop / Hip-Hop / Country / Hip-Hop
1) Determine the Winner of the Election using each voting method.
Plurality
Borda Count
Plurality with Elimination
Pairwise Comparison
2) Find each method’s EXTENDED RANKING for this election.
3) Check if there is a Majority or Condorcet candidate in the election.
4) Find the RECURSIVE RANKING for the election using plurality and plurality-with-elimination.
Election #3: What is your favorite type of movie?
8 / 3 / 4 / 61st / Comedy / Drama / Comedy / Drama
2nd / Drama / Horror / Drama / Comedy
3rd / Horror / Comedy / Sci-Fi / Sci-Fi
4th / Sci-Fi / Sci-Fi / Horror / Horror
1) Determine the Winner of the Election using each voting method.
Plurality
Borda Count
Plurality with Elimination
Pairwise Comparison
2) Find each method’s EXTENDED RANKING for this election.
3) Check if there is a Majority or Condorcet candidate.