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 42SE: In horse racing, a “trifecta” occurs when a bettor wins by selecting the first three finishers in...
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Discrete Math.
I just need help understanding the set up.
Part A is 100 ways and
Part B is 30,240
![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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8a8af915-3f7a-4a41-a3ab-e20554fd1f78%2Ff8e9ede7-696d-42a7-92d7-2eb565e5b8d2%2Fvxdmoxn_processed.png&w=3840&q=75)
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?
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