A campus club needs to elect four officers: a president, a vice president, a secretary, and a treasurer. The club has five volunteers. Rather than vote individually for each position, the club members will rank the candidates in order of preference. The votes will then be tallied using the Borda Count method. The candidate receiving the highest number of points will be president, the candidate receiving the next highest number of points is vice president, the candidate receiving the next highest number of points is secretary, and the candidate receiving the next highest number of points will be treasurer. Rankings Cynthia 4 2 5 2 3 Andrew 2 3 1 4 5 Jen 5 1 2 3 2 Hector 1 5 4 1 4 Medin 3 4 3 5 1 Number of votes: 9 12 25 24 23 For the preference schedule shown, determine who wins each position in the club. president vice president secretary treasurer
A campus club needs to elect four officers: a president, a vice president, a secretary, and a treasurer. The club has five volunteers. Rather than vote individually for each position, the club members will rank the candidates in order of preference. The votes will then be tallied using the Borda Count method. The candidate receiving the highest number of points will be president, the candidate receiving the next highest number of points is vice president, the candidate receiving the next highest number of points is secretary, and the candidate receiving the next highest number of points will be treasurer.
| Rankings | |||||
|---|---|---|---|---|---|
| Cynthia | 4 | 2 | 5 | 2 | 3 |
| Andrew | 2 | 3 | 1 | 4 | 5 |
| Jen | 5 | 1 | 2 | 3 | 2 |
| Hector | 1 | 5 | 4 | 1 | 4 |
| Medin | 3 | 4 | 3 | 5 | 1 |
| Number of votes: | 9 | 12 | 25 | 24 | 23 |
For the preference schedule shown, determine who wins each position in the club.
| president | |
| vice president | |
| secretary | |
| treasurer |
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