Nine IU South Bend students are going on a trip to Indianapolis for a Clots game. Go Colts! (a) They will seat in a row. In how many ways can they seat if Josh, Mark and Mary will sit together? (b) They will travel with three cars that hold 2, 4, and 5 people, respectively. All of them can drive. Find the number of possible ways to allocate 9 people to 3 cars that each car has at least one person (each car has to have a driver) (i) if the allocations are to the cars only (disregard the seats in the car). (ii) if the allocations are to the seats.
Nine IU South Bend students are going on a trip to Indianapolis for a Clots game. Go Colts! (a) They will seat in a row. In how many ways can they seat if Josh, Mark and Mary will sit together? (b) They will travel with three cars that hold 2, 4, and 5 people, respectively. All of them can drive. Find the number of possible ways to allocate 9 people to 3 cars that each car has at least one person (each car has to have a driver) (i) if the allocations are to the cars only (disregard the seats in the car). (ii) if the allocations are to the seats.
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
Related questions
Question
Transcribed Image Text:Nine IU South Bend students are going on a trip to Indianapolis for a Clots game. Go Colts!
(a) They will seat in a row. In how many ways can they seat if Josh, Mark and Mary will sit together?
(b) They will travel with three cars that hold 2, 4, and 5 people, respectively. All of them can drive. Find the number
of possible ways to allocate 9 people to 3 cars that each car has at least one person (each car has to have a driver)
(i) if the allocations are to the cars only (disregard the seats in the car). (ii) if the allocations are to the seats.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning