   Chapter 14.1, Problem 48E ### 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.Signal Flags A ship carries five flags of different colors. How many different signals can be sent by hoisting exactly three of the five flags on the ship’s flagpole in different orders?

To determine

To find:

The number of different ways by which, the signals can be sent by hoisting exactly three flags.

Explanation

Given:

The total flags are five and the order of flags should be different.

Approach:

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

P(n,r)=n!(nr)! ……(2)

Calculation:

There are five flags and the number of different ways of selecting signals that can be sent by hoisting exactly three out of five flags is similar to the number of ways of selecting three numbers out of five numbers.

Thus, it is given as,

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