https://file.aiquickdraw.com/mathbot/file/1726188134888xoenppsb.jpg

The question on your screen asks:

**"An election involving 6 candidates and 20 voters is held and the results of the election are to be determined using the Borda count method. What is the maximum number of points a candidate can receive?"**

### Borda Count Method Explanation:
In the Borda count method, each voter ranks the candidates. The candidate ranked first receives the highest points, and the candidate ranked last gets the least points. For an election with 6 candidates:
- The candidate ranked 1st gets 5 points,
- The candidate ranked 2nd gets 4 points, 
- The candidate ranked 3rd gets 3 points, and so on until
- The candidate ranked 6th gets 0 points.

Now, let's compute the maximum number of points a candidate can receive:
- If a candidate is ranked 1st by all 20 voters, that candidate would receive 5 points from each voter.
  
Thus, the maximum number of points that a candidate can receive is:
\[
5 \, (\text{points per vote for 1st place}) \times 20 \, (\text{voters}) = 100 \, \text{points}.
\]

Since none of the answer options include 100, the correct choice is likely **E. None of these**.

Would you like a deeper breakdown or have any other questions? Here are five questions that expand on this:

1. How would the point distribution change if there were more candidates?
2. Can you explain why the Borda count method might be fairer in some situations compared to a simple majority?
3. What happens in a tie scenario in the Borda count method?
4. How do different election methods (e.g., plurality, runoff) compare to the Borda count?
5. What are some criticisms of the Borda count method?

**Tip:** Always double-check the number of candidates and voters to ensure the Borda points are calculated accurately.

An election involving 6 candidates and 20 voters is held and the results of the election are to be determined using the Borda count method. What is the maximum number of points a candidate can receive?

In a Borda count election with 6 candidates and 20 voters, find the maximum number of points a candidate can receive if ranked first by all voters. This involves understanding how points are distributed in voting theory. Suitable for undergraduate students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation