Excursions in Modern Mathematics, Books a la Carte Edition Plus MyLab Math -- Access Card Package (9th Edition)
bartleby

Concept explainers

bartleby

Videos

Textbook Question
Chapter 1, Problem 21E

Table 1-31(see Exercise 11) shows the preference schedule for an election with four candidates (A. B, C, and D). Use the Borda count method to

a. find the winner of the election.

b. find the complete ranking of the candidates.

T a b l e 1 - 3 1

Number of voters 2 7 1 5 1 1 9 8 1
1 s t C A B D B B
2 n d D B D A A A
3 r d B D A B C D
4 t h A C C C D C
Blurred answer
Students have asked these similar questions
The Science club is selecting its representative for a competition. The members rank the 4 candidates given in the preference table below: Votes 2 1 8 4 1st Berlin Anton Dianne Charles 2nd Charles Berlin Charles Berlin 3rd Dianne Charles Anton Dianne 4th Anton Dianne Berlin Anton Who is the Borda count winner? Group of answer choices Dianne Anton Berlin Charles
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: 12 21 17 26 18 16 Using the Borda Count method, which student should be class president?
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

Chapter 1 Solutions

Excursions in Modern Mathematics, Books a la Carte Edition Plus MyLab Math -- Access Card Package (9th Edition)

Ch. 1 - Table 1-31 shows the preference schedule for an...Ch. 1 - Table 1-32 shows the preference schedule for an...Ch. 1 - Table 1-33 shows the preference schedule for an...Ch. 1 - Table 1-34 shows the preference schedule for an...Ch. 1 - Table 1-35 shows the preference schedule for an...Ch. 1 - Table1-36 shows the preference schedule for an...Ch. 1 - Table 1-25 see Exercise 3 shows the preference...Ch. 1 - Table 1-26 see Exercise 4 shows the preference...Ch. 1 - Table 1-25 see Exercise 3 shows the preference...Ch. 1 - Table 1-26 see Exercise 4 shows the preference...Ch. 1 - Table 1-31see Exercise 11 shows the preference...Ch. 1 - Table 1-32 see Exercise 12 shows the preference...Ch. 1 - Table 1-33 see Exercise 13 shows the preference...Ch. 1 - Table 1-34 Number of voters 6 6 5 4 3 3 1st A B B...Ch. 1 - Table 1-35 Percent of voters 24 23 19 14 11 9 1st...Ch. 1 - Table 1-36 Percent of voters 25 21 15 12 10 9 8...Ch. 1 - The Heisman Award. Table 1-37 shows the results...Ch. 1 - The 2014 AL Cy Young Award. Table 1-38 shows the...Ch. 1 - An election was held using the conventional Borda...Ch. 1 - Imagine that in the voting for the American League...Ch. 1 - Table 1-31 see Exercise 11 shows the preference...Ch. 1 - Table 1-32 see Exercise 12 shows the preference...Ch. 1 - Table1-33 Number of voters 6 5 4 2 2 2 2 1st C A B...Ch. 1 - Table 1-34 See Exercise 14 shows the preference...Ch. 1 - Table1-39_ shows the preference schedule for an...Ch. 1 - Table1-40_ shows the preference schedule for an...Ch. 1 - Table 1-35 see Exercise 15 shows the preference...Ch. 1 - Table 1-36 see Exercise 16 shows the preference...Ch. 1 - Top-Two Instant-Runoff Voting. Exercises 39 and 40...Ch. 1 - Top-Two Instant-Runoff Voting. Exercises 39 and 40...Ch. 1 - Table 1-31 see Exercise 11 shows the preference...Ch. 1 - Table 1-32 See Exercise 12 shows the preference...Ch. 1 - Table 1-33 see Exercise 13 shows the preference...Ch. 1 - Table 1-34 see Exercise 14 shows the preference...Ch. 1 - Table 1-35 see Exercise 15 shows the preference...Ch. 1 - Table 1-36 see Exercise 16 shows the preference...Ch. 1 - Table 1-39 see Exercise 35 shows the preference...Ch. 1 - Table1-40 see Exercise36 shows the preference...Ch. 1 - An election with five candidates A, B. C, D, and E...Ch. 1 - An election with six candidates A, B, C, D, E, and...Ch. 1 - Use Table 1-41 to illustrate why the Borda count...Ch. 1 - Use Table 1-32 to illustrate why the...Ch. 1 - Use Table 1-42 to illustrate why the plurality...Ch. 1 - Use the Math Club election Example 1.10 to...Ch. 1 - Use Table 1-43 to illustrate why the...Ch. 1 - Explain why the method of pair wise comparisons...Ch. 1 - Prob. 57ECh. 1 - Explain why the plurality method satisfies the...Ch. 1 - Explain why the Borda count method satisfies the...Ch. 1 - Explain why the method of pairwise comparisons...Ch. 1 - Two-candidate elections. Explain why when there...Ch. 1 - Alternative version of the Borda count. The...Ch. 1 - Reverse Borda count. Another commonly used...Ch. 1 - The average ranking. The average ranking of a...Ch. 1 - The 2006 Associated Press college football poll....Ch. 1 - The Pareto criterion. The following fairness...Ch. 1 - The 2003-2004 NBA Rookie of the Year vote. Each...Ch. 1 - Top-two IRV is a variation of the...Ch. 1 - The Coombs method. This method is just like the...Ch. 1 - Bucklin voting. This method was used in the early...Ch. 1 - The 2016 NBA MVP vote. The National Basketball...Ch. 1 - The Condorcet loser criterion. If there is a...Ch. 1 - Consider the following fairness criterion: If a...Ch. 1 - Suppose that the following was proposed as a...Ch. 1 - Consider a modified Borda count where a...

Additional Math Textbook Solutions

Find more solutions based on key concepts
Knowledge Booster
Math
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.
Recommended textbooks for you
  • Discrete Mathematics and Its Applications ( 8th I...
    Math
    ISBN:9781259676512
    Author:Kenneth H Rosen
    Publisher:McGraw-Hill Education
    Mathematics for Elementary Teachers with Activiti...
    Math
    ISBN:9780134392790
    Author:Beckmann, Sybilla
    Publisher:PEARSON
    Calculus Volume 1
    Math
    ISBN:9781938168024
    Author:Strang, Gilbert
    Publisher:OpenStax College
  • Thinking Mathematically (7th Edition)
    Math
    ISBN:9780134683713
    Author:Robert F. Blitzer
    Publisher:PEARSON
    Discrete Mathematics With Applications
    Math
    ISBN:9781337694193
    Author:EPP, Susanna S.
    Publisher:Cengage Learning,
    Pathways To Math Literacy (looseleaf)
    Math
    ISBN:9781259985607
    Author:David Sobecki Professor, Brian A. Mercer
    Publisher:McGraw-Hill Education
  • Discrete Mathematics and Its Applications ( 8th I...
    Math
    ISBN:9781259676512
    Author:Kenneth H Rosen
    Publisher:McGraw-Hill Education
    Mathematics for Elementary Teachers with Activiti...
    Math
    ISBN:9780134392790
    Author:Beckmann, Sybilla
    Publisher:PEARSON
    Calculus Volume 1
    Math
    ISBN:9781938168024
    Author:Strang, Gilbert
    Publisher:OpenStax College
    Thinking Mathematically (7th Edition)
    Math
    ISBN:9780134683713
    Author:Robert F. Blitzer
    Publisher:PEARSON
    Discrete Mathematics With Applications
    Math
    ISBN:9781337694193
    Author:EPP, Susanna S.
    Publisher:Cengage Learning,
    Pathways To Math Literacy (looseleaf)
    Math
    ISBN:9781259985607
    Author:David Sobecki Professor, Brian A. Mercer
    Publisher:McGraw-Hill Education
    The Shape of Data: Distributions: Crash Course Statistics #7; Author: CrashCourse;https://www.youtube.com/watch?v=bPFNxD3Yg6U;License: Standard YouTube License, CC-BY
    Shape, Center, and Spread - Module 20.2 (Part 1); Author: Mrmathblog;https://www.youtube.com/watch?v=COaid7O_Gag;License: Standard YouTube License, CC-BY
    Shape, Center and Spread; Author: Emily Murdock;https://www.youtube.com/watch?v=_YyW0DSCzpM;License: Standard Youtube License