   Chapter 14.1, Problem 44E ### 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.Three-Digit Numbers How many different three-digit whole numbers can be formed by using the digits 1 , 3 , 5 , and 7 if no repetition of digits is allowed?

To determine

To find:

The number of different three-digit whole numbers formed by using the given digits.

Explanation

Given:

The digits are 1, 3, 5, and 7 and the condition is that there is no repetition of digits.

Approach:

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

P(n,r)=n!(nr)!

Calculation:

Total number of digits is 4 and repetition is not allowed.

Thus, the number of selecting different three-digit whole numbers from the 4 digits is given as,

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