3) A non-profit agency is electing a new chair of the board. The votes are shown below. Number of Voters 1st Choice 2nd Choice 3rd Choice 11 Atkins Cortez Burke U Ja 5 Cortez Burke Atkins a. How many voters voted in this election? b. How many votes are needed for a Majority? A Plurality? C. Find the winner using the Plurality Method d. Find the winner using the Borda Count Method e. Find the winner using the Pairwise Method. 10 Burke Cortez Atkins 3 Atkins Burke Cortez
3) A non-profit agency is electing a new chair of the board. The votes are shown below. Number of Voters 1st Choice 2nd Choice 3rd Choice 11 Atkins Cortez Burke U Ja 5 Cortez Burke Atkins a. How many voters voted in this election? b. How many votes are needed for a Majority? A Plurality? C. Find the winner using the Plurality Method d. Find the winner using the Borda Count Method e. Find the winner using the Pairwise Method. 10 Burke Cortez Atkins 3 Atkins Burke Cortez
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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Question
*Contemprary Mathematics*
Transcribed Image Text:### Election for Chair of the Board
A non-profit agency is electing a new chair of the board. The votes are shown below:
| Number of Voters | 11 | 5 | 10 | 3 |
|------------------|---------|--------|--------|--------|
| 1st Choice | Atkins | Cortez | Burke | Atkins |
| 2nd Choice | Cortez | Burke | Cortez | Burke |
| 3rd Choice | Burke | Atkins | Atkins | Cortez |
#### Questions
a. **How many voters voted in this election?**
b. **How many votes are needed for a Majority? A Plurality?**
c. **Find the winner using the Plurality Method.**
d. **Find the winner using the Borda Count Method.**
e. **Find the winner using the Pairwise Method.**
This table provides a breakdown of voters' preferences across different candidates for the position of chair of a non-profit board. Each column represents a group of voters with specific rankings for their first, second, and third choices.
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