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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?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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?
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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