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Exercise 16

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 Oregon State governor's race has five candidates, F, G, H, I, J. The votes are:

Number of voters161292117116
1st choiceFFHIGGJ
2nd choiceIGIFHJF
3rd choiceGHGJIFH
4th choiceJJJHFIG
5th choiceHIFGJHI

Lee et al., Math in Society, §5.2 Voting Methods, Exercise 16

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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.