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Exercise 17

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.

A Washington county commissioner's race has five candidates, K, L, M, N, O. The votes are:

Number of voters221913261451711
1st choiceKMKOLLNN
2nd choiceMLLKNKOL
3rd choiceLNNNMOKK
4th choiceNOMLKMMO
5th choiceOKOMONLN

Lee et al., Math in Society, §5.2 Voting Methods, Exercise 17

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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.