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 28 voters.5 voters rank the candidates x first, y second, and z third; 10 voters rank the candidates x first, z second, and y third; 4 voters rank the candidates z first, y second, and x third; 9 voters rank the candidates y first, z second, and x third.Which candidate wins?
A)Candidate y.
B)Candidate z.
C)There is a tie between x and y, with z coming in third.
D)Candidate x.
E)There is a tie between y and z, with x coming in third.

Question

Quizplus · Accepted Answer

To determine the winner using the Borda count, we calculate the total score for each candidate based on the rankings given by the voters. The scores are calculated as follows:- For candidate x:  - 5 voters rank x first (5 * 1 = 5 points)  - 10 voters rank x first (10 * 1 = 10 points)  - 4 voters rank x third (4 * 3 = 12 points)  - 9 voters rank x third (9 * 3 = 27 points)  - Total for x = 5 + 10 + 12 + 27 = 54 points- For candidate y:  - 5 voters rank y second (5 * 2 = 10 points)  - 10 voters rank y third (10 * 3 = 30 points)  - 4 voters rank y second (4 * 2 = 8 points)  - 9 voters rank y first (9 * 1 = 9 points)  - Total for y = 10 + 30 + 8 + 9 = 57 points- For candidate z:  - 5 voters rank z third (5 * 3 = 15 points)  - 10 voters rank z second (10 * 2 = 20 points)  - 4 voters rank z first (4 * 1 = 4 points)  - 9 voters rank z second (9 * 2 = 18 points)  - Total for z = 15 + 20 + 4 + 18 = 57 pointsThe candidate with the lowest total score wins in a Borda count. Therefore, candidate x wins with the lowest score of 54 points.

A Borda Count Is Used to Decide an Election Between