Math

QuestionDoes it make sense that a candidate with a plurality of votes lost using the Borda count method? Explain.

Studdy Solution

STEP 1

Assumptions1. The concept of plurality in voting means that the candidate with the most votes wins, but not necessarily a majority of the votes. . The Borda count method is a voting system where voters rank candidates in order of preference, and points are assigned to each ranking. The candidate with the most total points wins.

STEP 2

We need to understand the difference between a plurality and a Borda count. In a plurality, the candidate with the most votes wins, but this does not necessarily mean they have a majority of the votes. In a Borda count, voters rank candidates in order of preference, and points are assigned to each ranking. The candidate with the most total points wins.

STEP 3

We can see that the two methods can yield different results. A candidate can have a plurality of the vote (the most votes), but not necessarily the most points in a Borda count.

STEP 4

Therefore, the statement "A candidate has a plurality of the vote, yet lost the election using the Borda count method" makes sense. This is because the Borda count method takes into account not just the number of votes a candidate receives, but also the ranking of those votes.

STEP 5

So, the correct answer is D. The statement makes sense because, using the Borda count method, the candidate with the most total points is the winner, regardless of who has a plurality of the vote.
The candidate with the most total points wins in the Borda count method, regardless of who has a plurality of the vote.

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