Concept explainers
Twelve people serve on a board and are considering three alternatives:
Determine the winner, if any, using the voting methods in Problems
Pairwise comparison method
Want to see the full answer?
Check out a sample textbook solutionChapter 17 Solutions
Nature of Mathematics (MindTap Course List)
- Choosing Officers From a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer need to be filled. In how many different ways can the offices be filled?arrow_forwardA coffee shop has 7 Guatemalan roasts, 4 Cuban roasts, and 10 Costa Rican roasts. How many ways can the shop choose 2 Guatemalan, 2 Cuban, and 3 Costa Rican roasts for a coffee tasting event?arrow_forwardIn a group of 20 musicians, 12 play piano, 7 play trumpet, and 2 play both piano and trumpet. How many musicians play either piano or trumpet?arrow_forward
- Thirteen people serve on a board and are considering three alternatives: A, B, and C. Here are the choices followed by vote: (ABC) (ACB) (BAC) (BCA) (CAB) (CBA) 4 1 1 2 1 4 . Determine the winner, if any, using the given voting method. Pairwise comparison method A is the winner. B is the winner. C is the winner. There is no winner.arrow_forwardThe BMCC math club has 50 members. a. In how many different ways can it select a group of 4 members? b. In how many different ways can it elect a president, vice-president, secretary and treasurer? One member CANNOT hold more than one job. (optional)arrow_forward