EXCURSIONS IN MODERN MATH
EXCURSIONS IN MODERN MATH
5th Edition
ISBN: 9781323741559
Author: Tannenbaum
Publisher: PEARSON C
bartleby

Videos

Textbook Question
Chapter 1, Problem 46E

Table 1-36 (see Exercise 16) shows the preference schedule for an election with five candidates (A, B, C, D, and E). The number of voters in this election was very large, so the columns of the preference schedule give the percent of voters instead of the number of voters. Find the winner of elections using the method of pairwise comparisons.

T a b l e 1 - 3 6

Percent of voters 2 5 2 1 1 5 1 2 1 0 9 8
1 s t C E B A C C C
2 n d E D D D D B E
3 r d D B E B E A D
4 t h A A C E A E B
5 t h B C A C B D A
Blurred answer
Students have asked these similar questions
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 Mathematics Department is holding an election for department chair.  Each member ranks the candidates from first to third.  The preference table below shows the results of the ballots with candidates Clark (C), Jones (J), and Smith (S). Number of Votes     7     10     4     8 First                       J       S     J     C Second                  S       J     C     S Third                      C       C     S     J Determine the winner using the pairwise comparison method.  Did the winner receive a majority of the first place votes using the pairwise comparison method? Select one: a. Clark; Yes b. Smith; Yes c. Smith; No d. Clark; No e. Jones; No f. Jones; Yes

Chapter 1 Solutions

EXCURSIONS IN MODERN MATH

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...
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
    12. Searching and Sorting; Author: MIT OpenCourseWare;https://www.youtube.com/watch?v=6LOwPhPDwVc;License: Standard YouTube License, CC-BY
    Algorithms and Data Structures - Full Course for Beginners from Treehouse; Author: freeCodeCamp.org;https://www.youtube.com/watch?v=8hly31xKli0;License: Standard Youtube License