A Borda count is used to decide an election between 3 candidates, x, y, and z, where a score of 1 is awarded to a first choice, 2 to a second choice, and 3 to a third choice.There are 14 voters.6 voters rank the candidates x first, y second, and z third; 3 voters rank the candidates x first, z second, and y third; 3 voters rank the candidates z first, y second, and x third; 2 voters rank the candidates y first, z second, and x third.Which candidate wins?
A)There is a tie between x and y, with z coming in third.
B)Candidate y.
C)Candidate x.
D)Candidate z.
E)There is a tie between y and z, with x coming in third.

Question

Quizplus · Accepted Answer

Using the Borda count, each candidate receives a score based on their ranking.

Candidate x: 6(1) + 3(2) + 2(3) = 21 
Candidate y: 2(1) + 6(2) + 6(3) = 32 
Candidate z: 3(1) + 5(2) + 6(3) = 33

Therefore, candidate z has the highest score and wins the election.

A Borda Count Is Used to Decide an Election Between