Question

take quiz
exit
number
of
voters
7
7
8
5
1st
choice
(4
points)
a
c
d
b
2nd
choice
(3
points)
b
b
c
a
3rd
choice
(2
points)
c
a
b
c
4th
choice
(1 point)
d
d
a
d
determine the rankings using the borda count method?
b, c, a, d
a, b, c, d
b, a, d, c
c, b, a, d

Explanation:

Step1: Calculate Points for A

• 1st Choice: 7 voters (A) + 5 voters (A as 2nd? No, 1st choice A: 7 voters (first column), 2nd choice A: 5 voters (fourth column). Wait, 1st choice A: 7 voters (column 1: 7 voters, 1st choice A). 2nd choice A: 5 voters (column 4: 2nd choice A). 3rd choice A: 7 voters (column 2: 3rd choice A). 4th choice A: 8 voters (column 3: 4th choice A).
• Points: (74) + (53) + (72) + (81) = 28 + 15 + 14 + 8 = 65.

Step2: Calculate Points for B

• 1st Choice: 5 voters (column 4: 1st choice B). 2nd choice B: 7 + 7 = 14 voters (columns 1 and 2: 2nd choice B). 3rd choice B: 8 voters (column 3: 3rd choice B). 4th choice B: 0.
• Points: (54) + (143) + (8*2) + 0 = 20 + 42 + 16 = 78.

Step3: Calculate Points for C

• 1st Choice: 7 voters (column 2: 1st choice C). 2nd choice C: 8 voters (column 3: 2nd choice C). 3rd choice C: 7 + 5 = 12 voters (columns 1 and 4: 3rd choice C). 4th choice C: 0.
• Points: (74) + (83) + (12*2) + 0 = 28 + 24 + 24 = 76.

Step4: Calculate Points for D

• 1st Choice: 8 voters (column 3: 1st choice D). 2nd choice D: 0. 3rd choice D: 0. 4th choice D: 7 + 7 + 5 = 19 voters (columns 1, 2, 4: 4th choice D).
• Points: (84) + 0 + 0 + (191) = 32 + 19 = 51.

Step5: Rank by Points

• B:78, C:76, A:65, D:51. So ranking B, C, A, D.

Answer:

A. B, C, A, D