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Exercise 15

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 Multnomah county commissioner's race has five candidates, A, B, C, D, E. The votes are:

Number of voters121421181923
1st choiceBCEEAB
2nd choiceAABACD
3rd choiceDEABBC
4th choiceEBCCDE
5th choiceCDDDEA

Lee et al., Math in Society, §5.2 Voting Methods, Exercise 15

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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.