A horse race has 12 horses. i ) How many dierent ways can the podium be arranged? (The podium has a spot for only the 1st, 2nd and 3rd place horse) ii ) How many different ways can the horses finish the race such that Grand Valor, Seabiscuit and Secretariat do not finish first? iii ) How many dierent ways can the horses nish the race such that one horse (Grand Valor) always beats both Seabiscuit and Secretariat?
A horse race has 12 horses. i ) How many dierent ways can the podium be arranged? (The podium has a spot for only the 1st, 2nd and 3rd place horse) ii ) How many different ways can the horses finish the race such that Grand Valor, Seabiscuit and Secretariat do not finish first? iii ) How many dierent ways can the horses nish the race such that one horse (Grand Valor) always beats both Seabiscuit and Secretariat?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A horse race has 12 horses.
i ) How many dierent ways can the podium be arranged? (The podium has a spot for only the 1st, 2nd and 3rd place horse)
ii ) How many different ways can the horses finish the race such that Grand Valor, Seabiscuit and Secretariat do not finish first?
iii ) How many dierent ways can the horses nish the race such that one horse (Grand Valor) always beats both Seabiscuit and Secretariat?
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![Simplify each binomial coefficient or permutations to factorial fractions:
п!
n!
P(n, k) =
=
k
(n – k)!k!
(п — К)!
You need not simplify these expressions, such as 154 or 17!, in your response.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8cb58778-70ba-4f7e-90ce-7267bd79a013%2Fe2a21255-0fb7-4e0a-9c1d-78f8a248b525%2F5mgujlp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Simplify each binomial coefficient or permutations to factorial fractions:
п!
n!
P(n, k) =
=
k
(n – k)!k!
(п — К)!
You need not simplify these expressions, such as 154 or 17!, in your response.
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