   Chapter 14.1, Problem 49E ### 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

# 41-52 Counting Permutations These exercises involve counting permutations.Contest prizes In how many ways can first, second, and third prizes be awarded in a contest with 1000 contestants?

To determine

To find:

The total number of ways by which, first, second, and third prizes can be awarded in a contest.

Explanation

Given:

There are 1000 contestants in the contest.

Approach:

The number of permutations of n distinct objects taken r at a time is,

P(n,r)=n!(nr)! ……(2)

Calculation:

The total number of contestants is 1000 and the number of ways of selecting three contestants from 1000 is similar to the number of ways of selecting three numbers from 1000 numbers.

Thus, it is determined by,

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