 An election is held among three candidates (A, B, and C) using the Borda count method. There are 20 voters. If candidate A received 38 points and candidate B received 36 points, how many points did candidate C receive?

		
46

		
44

		
104

		
Cannot be determined from the information given.


The Borda count method works by assigning points based on the voters' preferences. Since there are three candidates (A, B, and C), each voter assigns:

- 2 points to their first-choice candidate,
- 1 point to their second-choice candidate,
- 0 points to their third-choice candidate.

Each voter has a total of \(2 + 1 + 0 = 3\) points to distribute. Since there are 20 voters, the total number of points that all candidates will receive is:

\[
20 \times 3 = 60 \text{ points}.
\]

We are given that:

- Candidate A received 38 points,
- Candidate B received 36 points.

To find the points for candidate C, we subtract the points for A and B from the total number of points:

\[
60 - (38 + 36) = 60 - 74 = -14.
\]

This results in a negative number, which is not possible in the Borda count method. Thus, the information given leads to a contradiction, and it is not possible to determine the points for candidate C with the information provided.

Therefore, the correct answer is:

**Cannot be determined from the information given.**

Would you like more details on how Borda count works or any other clarification?

### Related Questions:
1. How is the Borda count method different from plurality voting?
2. What are the advantages of using the Borda count method in elections?
3. Can the Borda count method result in a tie between candidates?
4. How would the Borda count change if there were more than three candidates?
5. How would strategic voting affect the outcome in the Borda count system?

**Tip:** In the Borda count, each voter's total points distributed is equal to \(n-1\) for an election with \(n\) candidates.

An election is held among three candidates (A, B, and C) using the Borda count method. There are 20 voters. If candidate A received 38 points and candidate B received 36 points, how many points did candidate C receive?

In this Borda count election problem, learn how to calculate the total points distributed among three candidates, given the points received by two of them. Suitable for Grades 10-12, this example covers voting systems and algebraic calculations.

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