4. There is a horse race with 10 horses where 5 horses have a black coat, 3 horses have a brown coat and 2 horses have a grey coat. (a) How many different ways can they finish 1st, 2nd and 3rd if the first place finisher is a horse with a black coat and no other horses with a black coat comes 2nd or 3rd? (b) How many different ways can there be a top 5 finish with at least one horse with a grey coat?
4. There is a horse race with 10 horses where 5 horses have a black coat, 3 horses have a brown coat and 2 horses have a grey coat. (a) How many different ways can they finish 1st, 2nd and 3rd if the first place finisher is a horse with a black coat and no other horses with a black coat comes 2nd or 3rd? (b) How many different ways can there be a top 5 finish with at least one horse with a grey coat?
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 41SE: A cell phone company offers 6 different voice packages and 8 different data packages. Of those, 3...
Related questions
Question
Discrete Math.
I just need help understanding the set up.
Part A is 100 ways and
Part B is 30,240
Transcribed Image Text:4. There is a horse race with 10 horses where 5 horses have a black coat, 3 horses have a brown coat and 2
horses have a grey coat.
(a) How many different ways can they finish 1st, 2nd and 3rd if the first place finisher is a horse with a
black coat and no other horses with a black coat comes 2nd or 3rd?
(b) How many different ways can there be a top 5 finish with at least one horse with a grey coat?
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 2 images
Recommended textbooks for you
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
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning