A Borda count is used to decide an election between three 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 20 voters.4 voters rank the candidates x first, y second, and z third; 5 voters rank the candidates x first, z second, and y third; 8 rank the candidates z first, y second, and x third; and 3 voters rank the candidates y first, z second, and x third.Which candidate wins?
A)Candidate y.
B)There is a tie between x and y, with z coming in third.
C)Candidate z.
D)Candidate x.
E)There is a tie between y and z, with x coming in third.

Question

Quizplus · Accepted Answer

First, we need to determine each candidate's total score by adding up the points they received from each voter.

For candidate x: 
4 voters ranked x first = 4 points 
5 voters ranked x second = 10 points 
3 voters ranked x third = 9 points 
Total = 23 points

For candidate y: 
4 voters ranked y second = 8 points 
5 voters ranked y third = 15 points 
8 voters ranked y first = 8 points 
3 voters ranked y first = 3 points 
Total = 34 points

For candidate z: 
4 voters ranked z third = 12 points 
5 voters ranked z first = 5 points 
8 voters ranked z second = 16 points 
3 voters ranked z second = 6 points 
Total = 39 points

So, candidate z has the highest total score and is the winner of the election.

A Borda Count Is Used to Decide an Election Between