Horse Race A horse race has 12 horses.i How many different ways can the podium be arranged? (The podium has a spot for only the1st, 2nd and 3rd place horse)ii How many different ways can the horses finish the race such that Grand Valor, Seabiscuit andSecretariat do not finish first?iii How many different ways can the horses finish the race such that one horse (Grand Valor)always beats both Seabiscuit and Secretariat?

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How many different ways can the podium be arranged? (The podium has a spot for only the 1st, 2nd and 3rd place horse)

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter14: Counting And Probability

Section14.CT: Chapter Test

Problem 5CT: A commuter must travel from Ajax to Barrie and back every day. Four roads join the two cities. The...

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Concept explainers

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.

Question

Horse Race A horse race has 12 horses.
i How many different 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 different ways can the horses finish the race such that one horse (Grand Valor)
always beats both Seabiscuit and Secretariat?

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