In the future, humans have explored distant solar systems and found three habitable planets which could be colonized. Since it will take all available resources to colonize one planet, humans must agree on the planet. Planet A has the most comfortable climate and most plentiful resources, but it is the farthest from Earth making travel to the planet a challenge. Planet B is half the distance but will require more resources to make comfortable. Planet C is the least suitable of the three and terraforming will be required, but it is close enough to make travel between Earth and Planet C possible on a more regular basis. The table below provides the voter preferences for the colonization of each planet.
| Percentage of Voters | 45% | 15% | 40% |
| Planet A | 1 | 3 | 3 |
| Planet B | 2 | 1 | 2 |
| Planet C | 3 | 2 | 1 |
If the entire population were able to vote, determine the winning planet using each of the methods listed below.
- Plurality
- Ranked-choice method
- Borda count
OpenStax Contemporary Mathematics, 11.1 Voting Methods, exercise 29