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Exercise 5

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 group of students is deciding which class to take together. The votes are shown below.

Number of voters212322
1st choiceArtArtBiologyBiologyCalculusCalculus
2nd choiceBiologyCalculusArtCalculusArtBiology
3rd choiceCalculusBiologyCalculusArtBiologyArt

Lee et al., Math in Society, §5.2 Voting Methods, Exercise 5

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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.