   Chapter 14.1, Problem 86E ### 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

# Arranging a Class Picture In how many ways can ten students be arranged in a row for a class picture if John and Jane want to stand next to each other and Mike and Molly also insist on standing next to each other?

To determine

To find:

The number of ways in which ten students be arranged in a row.

Explanation

Given:

Ten students are to be arranged in a row for a class picture. John and Jane want to stand next to each other and Mike and Molly also insist on standing next to each other.

Approach:

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.

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

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

Calculation:

There are 10 students to be arranged in a row. Assume John and Jane to be one (as they want to stand next to each other) and Mike and Molly to be one (as they also insist on standing next to each other)

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