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Exercise 11

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 Portland mayor's race has four candidates, I, J, K, L. The votes are:

Number of voters2118914512112
1st choiceIKKLJIKJ
2nd choiceLIJKIKLI
3rd choiceJLIIKLIL
4th choiceKJLJLJJK

Lee et al., Math in Society, §5.2 Voting Methods, Exercise 11

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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.