items 1-4, consider the following: The members of Math Club are to choose a representative among four candidates, M, A, T, H. The following table shows the result of the election.
items 1-4, consider the following: The members of Math Club are to choose a representative among four candidates, M, A, T, H. The following table shows the result of the election.
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 40E: Choosing Officers From a pool of 12 candidates, the offices of president, vice-president, secretary,...
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For items 1-4, consider the following: The members of Math Club are to choose a representative among four candidates, M, A, T, H. The following table shows the result of the election.
Number of votes | 18 | 12 | 5 | 3 | 2 | 2 |
First Choice | H | T | M | A | H | T |
Second Choice | M | A | T | H | A | M |
Third Choice | A | M | H | T | T | H |
Fourth Choice | T | H | A | M | M | A |
1. Who won the election by plurality?
2. Using the Borda count method and assigning 4 points for the first choice, 3 points for the second
choice, 2 points for the third choice and 1 point for the fourth choice, how many points T have
received?
3. Using the Borda count method and assigning 4 points for the first choice, 3 points for the second
choice, 2 points for the third choice and 1 point for the fourth choice, how many points H have
received?
4. Who won the election by Borda count method?
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