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Exercise 4

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 non-profit agency is electing a new chair of the board. The votes are shown below.

Number of voters1151043
1st choiceAbdullaCantosBeckCantosAbdulla
2nd choiceCantosBeckCantosAbdullaBeck
3rd choiceBeckAbdullaAbdullaBeckCantos

Lee et al., Math in Society, §5.2 Voting Methods, Exercise 4

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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.