Four candidates are running for president of their book club, which has a total of 36 members. The table below indicates the number of voters and their preferences
Determine the winner under the plurality-rule method, the Borda-count method (assigning 3 points to each first choice, 2 points to each second choice, 1 point to each third choice, and no points to each fourth choice), and the instant runoff method. Number of voters and their preferences 7 14 6 9 1st Choice Amy Byron Coco Dinesh 2nd Choice Coco Dinesh Amy Amy 3rd Choice Byron Amy Dinesh Coco 4th Choice Dinesh Coco Byron Byron
Plurality-rule method: Byron has the most votes (14), so he wins the election.
Borda-count method: Amy wins with 65 points, compared to Dinesh's 61 points, Byron's 49 points, and Coco's 41 points.
Instant runoff method:
Coco is eliminated first with 6 first-choice votes compared to Amy with 7 votes, Byron with 14 votes and Dinesh with 9 votes.
Dinesh is eliminated second with 9 first-choice votes compared to Amy with 13 votes and Byron with 14 votes.
Byron is eliminated third with 14 first-choice votes compared to Amy with 22 votes, so Amy wins the election.
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