(a) Explanation Voting method use: Borda Count Method: 1. Voters rank the candidates from the most favorable to the least favorable. 2. Each last place vote is rewarded one point, each next to last place vote is rewarded two points, each third place from the last place is rewarded three points, and so forth. 3. The candidate receiving the most points is the winner of the election. Calculation: Given that 20 voters rank the three candidates. So, each voters have three choices 3, 2 and 1... (b) To determine To find: The number of points which can be received by candidate B using the borda count method. (c) To determine To explain: Whether the candidate B win the election if the Borda count method is used and use the information from part (b).

A Survey of Mathematics with Applications Plus MyLab Math with Pearson eText -- 18 Week Access Card Package

10th Edition

ISBN: 9780136208341

Author: Angel, Allen, Abbott, Christine, RUNDE, Dennis

Publisher: PEARSON

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Chapter 14.1, Problem 46E

(a)

To determine

To find: The total number of points awarded to the candidates using the borda count method.

(b)

To determine

To find: The number of points which can be received by candidate B using the borda count method.

(c)

To determine

To explain: Whether the candidate B win the election if the Borda count method is used and use the information from part (b).

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Chapter 14.1, Problem 45E

Chapter 14.1, Problem 47E

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Chapter 14 Solutions

A Survey of Mathematics with Applications Plus MyLab Math with Pearson eText -- 18 Week Access Card Package

Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - Prob. 5E Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - Prob. 7E Ch. 14.1 - Prob. 8E Ch. 14.1 - Plurality Three candidates are running for mayor...Ch. 14.1 - Prob. 10E

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The total number of points awarded to the candidates using the borda count method.

Solution Summary: The author calculates the total number of points awarded to candidates using the Borda count method. The candidate receiving the most points is the winner.

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To find: The total number of points awarded to the candidates using the borda count method.

To find: The number of points which can be received by candidate B using the borda count method.

To explain: Whether the candidate B win the election if the Borda count method is used and use the information from part (b).

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Chapter 14 Solutions