
Number of voters	18	14	12
1st choice	B	A	C
2nd choice	C	C	A
3rd choice	A	B	B


Find the Borda Count for candidate A.

Count = 


Note: Use the count that assigns 1 point for last place

To compute the Borda Count for candidate A using the points system where 1 point is assigned for last place, follow these steps:

### Step 1: Assign points based on ranking.
- **1st place**: 3 points
- **2nd place**: 2 points
- **3rd place**: 1 point

### Step 2: Look at the rankings for candidate A.
We need to consider how many voters placed candidate A in each position:

- **1st place**: Candidate A was ranked 1st by 12 voters.
- **2nd place**: Candidate A was ranked 2nd by 14 voters.
- **3rd place**: Candidate A was ranked 3rd by 18 voters.

### Step 3: Compute the total points for candidate A.
- **For 1st place (12 voters)**: \(12 \times 3 = 36\) points
- **For 2nd place (14 voters)**: \(14 \times 2 = 28\) points
- **For 3rd place (18 voters)**: \(18 \times 1 = 18\) points

### Step 4: Add the points together.
\[
36 + 28 + 18 = 82
\]

### Final Answer:
The Borda Count for candidate A is **82**.

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Would you like more details on how the Borda Count works or have any questions?

Here are five follow-up questions:
1. What is the Borda Count for candidates B and C?
2. How does the Borda Count system compare to other voting methods like plurality or runoff voting?
3. How might the outcome change if the point system assigned 2 points for last place instead of 1?
4. Can you think of a scenario where the Borda Count would give an unfair advantage to a candidate?
5. How would a tie in Borda Count be resolved?

**Tip**: In elections with more candidates, Borda Count tends to favor those with broader support across rankings, not just first-place votes.

Find the Borda Count for candidate A based on the following rankings:
Number of voters: 18, 14, 12
1st choice: B, A, C
2nd choice: C, C, A
3rd choice: A, B, B

This problem explains how to calculate the Borda Count for candidate A using a voting system where points are assigned based on rank. The scenario includes three candidates and shows how 18, 14, and 12 voters ranked them. The solution highlights key concepts in voting theory, useful for high school students learning about ranked voting systems.

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