### Voting Preferences TableThe table presents the ranked voting preferences of a group of voters for different choices labeled A, B, C, and D.#### Columns:1. **Number of Voters**: - 15 - 11 - 9 - 8 - 4#### Rows:1. **1st Choice**: - 15 voters preferred A - 11 voters preferred D - 9 voters preferred C - 8 voters preferred B - 4 voters preferred D2. **2nd Choice**: - 15 voters preferred B - 11 voters preferred B - 9 voters preferred D - 8 voters preferred C - 4 voters preferred C3. **3rd Choice**: - 15 voters preferred D - 11 voters preferred C - 9 voters preferred B - 8 voters preferred D - 4 voters preferred B4. **4th Choice**: - 15 voters preferred C - 11 voters preferred A - 9 voters preferred A - 8 voters preferred A - 4 voters preferred AThis data can be used to analyze voter preferences and determine overall rankings using various voting systems. The text presents a multiple-choice question regarding fairness criteria in elections:9) "If there is a choice that has a majority of the first-place votes in an election, then that choice should be the winner of the election." This fairness criterion is called theA) IIA B) majority C) Condorcet D) monotonicity

In an election , if the candidate elected has majority of first place voter , that is called…

9) "If there is a choice that has a majority of the first-place votes in an election, then that choice should be the winner of the election." This fairness criterion is called the A) IIA B) majority C) Condorcet D) monotonicity

9) "If there is a choice that has a majority of the first-place votes in an election, then that choice should be the winner of the election." This fairness criterion is called the A) IIA B) majority C) Condorcet D) monotonicity

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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Concept explainers

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.

Question

### Voting Preferences Table

The table presents the ranked voting preferences of a group of voters for different choices labeled A, B, C, and D.

#### Columns:
1. **Number of Voters**:
- 15
- 11
- 9
- 8
- 4

#### Rows:
1. **1st Choice**:
- 15 voters preferred A
- 11 voters preferred D
- 9 voters preferred C
- 8 voters preferred B
- 4 voters preferred D

2. **2nd Choice**:
- 15 voters preferred B
- 11 voters preferred B
- 9 voters preferred D
- 8 voters preferred C
- 4 voters preferred C

3. **3rd Choice**:
- 15 voters preferred D
- 11 voters preferred C
- 9 voters preferred B
- 8 voters preferred D
- 4 voters preferred B

4. **4th Choice**:
- 15 voters preferred C
- 11 voters preferred A
- 9 voters preferred A
- 8 voters preferred A
- 4 voters preferred A

This data can be used to analyze voter preferences and determine overall rankings using various voting systems.

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15) "If choice X is a winner of an election and, in a reelection, the only changes in the ballots are changes that only favor X, then X should remain a winner of the election." This fairness criterion is called the A) monotonicity В) ПА C) Condorcet D) majority
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