   Chapter 14.1, Problem 19E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# 1 7 - 3 6 Fundamental Counting Principle These exercises involve the Fundamental Counting Principle.Horse Race Eight horses compete in a race. (Assume that the race does not end in a tie.)(a) How many different orders are possible for completing the race?(b) In how many different ways can first, second, and third places be decided?

To determine

(a)

To find:

The possible number of orders for completing the horse race.

Explanation

Given:

There are 8 horses in the race.

Approach:

Fundamental Counting Principle: If two events E1 and E2 occur in order and E1 occur in m ways and E2 occur in n ways, then the two events can occur in order in m×n ways.

Calculation:

There are eight selection stages.

 8 7 6 5 4 3
To determine

(b)

To find:

The number of ways in which the first, second, and third places can be decided.

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