   Chapter 9.2, Problem 32ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
8 views

# (a) How many ways can the letters of the word ALGORTHM be arranged in a raw? (b) How many ways can the letters of the word ALGORTHM be arranged in a row if A and L, must remain together (in order) as a unit? (c) How many ways can the letters of the word ALGORTHM be arranged in a row if the letters GOR must remain together (in order) as a unit?

To determine

(a)

To find how many ways can the letters of the word ALGORITHM be arranged in a row.

Explanation

Given information:

There are 9 distinct letters in the world ALGORITHM.

Concept used:

The total number of ways in which the letters can be arranged in a row is given by the permutations of a set with 9 elements.

Calculation:

There are 9 distinct letters in the world ALGORITHM.

The total number of ways in which the letters can be arranged in a row is given by the permutations of a set with 9 elements.

p(9,9)=9!

To determine

(b)

To find how many ways can the letters of the word ALGORITHM be arranged in a row if A and L must remain together (in order) as a unit.

To determine

(c)

To find how many ways can the letters of the word ALGORITHM be arranged in a row if the letters GOR must remain together (in order) as a unit.

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started 