Please use permutations in your solutions, these are all related to permutations, so I hope everything gets answered. Thanks! 1. Find ?(9, 3). 2. What is the permutation of 14 taken 5? 3. A group of 45 people is going to run a race. In how many possible ways can they be arranged as first, second, and third placers?

Please use permutations in your solutions, these are all related to permutations, so I hope everything gets answered. Thanks! 1. Find ?(9, 3). 2. What is the permutation of 14 taken 5? 3. A group of 45 people is going to run a race. In how many possible ways can they be arranged as first, second, and third placers?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section: Chapter Questions

Problem 38RE: A coffee shop has 7 Guatemalan roasts, 4 Cuban roasts, and 10 Costa Rican roasts. How many ways can...

See similar textbooks

Similar questions

DISCUSS: Complementary Combinations Without performing any calculations, explain in words Why the number of ways of choosing two objects from ten objects is the same as the number of ways of choosing eight Objects from ten objects. In explain Why c(n,r)=c(n,nr)
How many ways can 4 men and 4 women stand in line if all the women are first?
A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in the front and 3 in the back a. How many arrangements are possible with no restrictions? b. How many arrangements are possible if the parents must sit in the front? C. How many arrangements are possible if the parents must be next to each other?
In three-card poker, a hand consists of three cards dealt from a deck of 52. How many different three-card poker hands are possible? (Order is not important.)
In how many ways can 10 teenagers be seated at a round table if 2 girls wish to sit with their boyfriends.
A 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?
Hector wants to place billboard advertisements throughout the county for his new business. How many ways can Hector choose 15 neighborhoods to advertise in if there are 30 neighborhoods in the county?
How many ways can a baseball coach arrange the order of 9 batters if there are 15 players on the team?
Over the past year, John has purchased 30 books. a In how many ways can he pick four of these books and arrange them, in order, on his nightstand bookshelf? b In how many ways can he choose four of these books to take with him on his vacation at the shore?