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Exercise 9

Avg difficulty 2.5

In exercises 3-18, complete the following:

  1. How many voters voted in this election?

  2. How many votes are needed for a majority?

  3. Find the winner under the plurality method.

  4. Find the winner under the Instant Runoff Voting method.

  5. Find the winner under the Borda Count Method.

  6. Find the winner under Copeland's method.

The Beaverton City Council has an election for one open position. There are four candidates (labeled A, B, C, and D for convenience). The preference schedule for the election is:

Number of voters12050409060100
1st choiceCBDAAD
2nd choiceDCACDB
3rd choiceBABBCA
4th choiceADCDBC

Lee et al., Math in Society, §5.2 Voting Methods, Exercise 9

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Adapted from Math in Society © 2018–2024 Portland Community College Math Instructors. Licensed under CC BY-SA 4.0. Source: Math in Society. Imported at revision 68ee43c.