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Exercise 14

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 Parkrose School Board has an election for an open position with four candidates, U, V, W, X. The votes are:

Number of voters16211553119822
1st choiceUWXVXXWUV
2nd choiceXXVXWUVVW
3rd choiceVUUWVVXXU
4th choiceWVWUUWUWX

Lee et al., Math in Society, §5.2 Voting Methods, Exercise 14

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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.