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Exercise 12

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 Reynolds School Board position has four candidates, M, N, O, P. The votes are:

Number of voters16212153422321311
1st choiceMNNPOMMON
2nd choiceOOPOMPNMO
3rd choicePMONNOPPM
4th choiceNPMMPNONP

Lee et al., Math in Society, §5.2 Voting Methods, Exercise 12

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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.