Concept explainers
Twelve people serve on a board and are considering three alternatives:
Determine the winner, if any, using the voting methods in Problems
Plurality method
Want to see the full answer?
Check out a sample textbook solutionChapter 17 Solutions
Nature of Mathematics (MindTap Course List)
- In a group of 5 freshman, 10 sophomores, 3 juniors, and 2 seniors, how many ways can a president, vice president, and treasurer be elected?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_forwardA buyer of a new sedan can custom order the car by choosing from 5 different exterior colors, 3 different interior colors, 2 sound systems, 3 motor designs, and either manual or automatic transmission. How many choices does the buyer have?arrow_forward
- In 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_forwardAt Rosemont High School, 14 players are on the varsity basketball team, 35 players are on the varsity football team, and 7 of these players are on both teams. How many different individual players are on the two varsity teams?arrow_forwardIn a competition of 50 professional ballroom dancers, 22 compete in the fox-trot competition, 18 compete in the tango competition. and 6compete in both the fox-trot and tango competitions. How many dancers compete in the foxtrot or tango competitions?arrow_forward
- Last year at a certain high school, 11 students sought the nomination for president of the student body. In how many ways could the voters (student body) rank their first 4 choices?arrow_forwardThe student body of 95 students wants to elect two representatives. Please determine whether this is a combination or permutation. Here are the answer choices: Combination; 2,232 Combination; 4,465 Combination; 4,401 Permutation; 2,232arrow_forwardThe five finalists in the Miss Universe contest are MissArgentina, Miss Belgium, Miss U.S.A., Miss Japan, andMiss Norway. In how many ways can the judges choose(a) the winner and the first runner-up;(b) the winner, the first runner-up, and the secondrunner-up?arrow_forward
- A local pizzeria has 12 slices of pizza left at the end of the night. Four slices are pepperoni, two slices are plain, five are sausage, and one is garlic. Find the below: a) P(not sausage) b) P(plain or garlic)arrow_forwardA committee consisting of 4 faculty members and 5 students is to be formed. Every committee position has the same duties and voting rights. There are 8 faculty members and 13 students eligible to serve on the committee. In how many ways can the committee be formed?arrow_forward20 people have volunteered for a 5-person neighborhood advocacy committee. 11 of them are homeowners and the rest are local business owners. How many ways are there to select the 5-person committee such that exactly 2 local business owners are represented? Answer:?arrow_forward
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,