Using the Borda Count Method, find the winner of the election
A has 3106 votes
B has 3134 votes
C has 2816 votes
D has 3024 votes
To find the winner of the election using the Borda Count Method, you need to assign points to each candidate based on their ranking. The candidate with the highest overall score will be the winner.
First, determine the number of candidates in the election. In this case, there are 4 candidates: A, B, C, and D.
Next, assign points to each candidate based on their ranking. The candidate ranked first will receive (number of candidates - 1) points, the candidate ranked second will receive (number of candidates - 2) points, and so on.
Applying the Borda Count Method to the given election results, we have:
Candidate A:
Total points = 3 * (number of candidates - 1) - (2 * number of candidates - 1 - 1) = 3 * 3 - (2 * 4 - 1) = 9 - 7 = 2 points
Candidate B:
Total points = 3 * (number of candidates - 1) - (2 * number of candidates - 2 - 1) = 3 * 3 - (2 * 4 - 2) = 9 - 6 = 3 points
Candidate C:
Total points = 3 * (number of candidates - 1) - (2 * number of candidates - 3 - 1) = 3 * 3 - (2 * 4 - 3) = 9 - 5 = 4 points
Candidate D:
Total points = 3 * (number of candidates - 1) - (2 * number of candidates - 4 - 1) = 3 * 3 - (2 * 4 - 4) = 9 - 4 = 5 points
Comparing the total points, we find that Candidate D has the highest score with 5 points. Therefore, Candidate D is the winner of the election using the Borda Count Method.