   Chapter 14.1, Problem 54E ### 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

# 5 3 - 5 6 Distinguishable Permutations These exercises involve distinguishable permutations.Arrangements In how many different ways can five red balls, two white balls and seven blue balls be arranged in a row?

To determine

To find:

The number of different ways in which five red balls, two white balls, and seven blue balls can be arranged in a row.

Explanation

Given:

There are 5 red balls, 2 white balls, and 7 blue balls.

Approach:

Distinguishable Permutations: If a set of p items consists of k different kind of items with p1 items of the first kind, p2 items of the second kind, and so on as p1+p2+...+pk=p, then the number of distinguishable permutations of these items is,

p!p1!p2!...pk!(1)

Calculation:

Since, there are 5 red balls, 2 white balls, and 7 blue balls. So, total balls are 14

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