Question

number of voters 13 21 17
1st choice b c a
2nd choice a b b
3rd choice c a c

find the borda count for candidate a.

count =

note: use the count that assigns 1 point for last place

Explanation:

Step1: Determine points per choice

Since there are 3 candidates, 1st choice gets 3 points, 2nd gets 2, 3rd (last) gets 1.

Step2: Calculate points for A in each group

• Group 1 (13 voters): A is 2nd choice, so \(13 \times 2\)
• Group 2 (21 voters): A is 3rd choice, so \(21 \times 1\)
• Group 3 (17 voters): A is 1st choice, so \(17 \times 3\)

Step3: Sum the points

Total = \(13\times2 + 21\times1 + 17\times3\)
= \(26 + 21 + 51\)
= \(98\)

Answer:

98