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Math
Discrete Mathematics With Applications5th Edition

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Chapter 9.2, Problem 19ES
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Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

Solutions

Chapter
Section
Problem 1TY
Problem 2TY
Problem 3TY
Problem 4TY
Problem 5TY
Problem 6TY
Problem 1ES
Problem 2ES
Problem 3ES
Problem 4ES
Problem 5ES
Problem 6ES
Problem 7ES
Problem 8ES
Problem 9ES
Problem 10ES
Problem 11ES
Problem 12ES
Problem 13ES
Problem 14ES
Problem 15ES
Problem 16ES
Problem 17ES
Problem 18ES
Problem 19ES
Problem 20ES
Problem 21ES
Problem 22ES
Problem 23ES
Problem 24ES
Problem 25ES
Problem 26ES
Problem 27ES
Problem 28ES
Problem 29ES
Problem 30ES
Problem 31ES
Problem 32ES
Problem 33ES
Problem 34ES
Problem 35ES
Problem 36ES
Problem 37ES
Problem 38ES
Problem 39ES
Problem 40ES
Problem 41ES
Problem 42ES
Problem 43ES
Problem 44ES
Problem 45ES
Problem 46ES
Problem 47ES
BuyFindarrow_forward

Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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Three officers-a president, a treasurer, and a secretary-are to be chosen from among four people: Ann, Bob, Cyd, and Dan. Suppose that Bob is not qualified to be treasurer and Cyd’s other commitments make it impossible for her to be secretary. How many ways can the officers be chosen? Can the multiplication rule be used to solve this problem?

To determine

To find:

The number of ways can be used to chose the officers. Whether multiplication rule can be used or not.

Explanation

Given information:

Three officers—a president, a treasurer, and a secretary—are to be chosen from among four people: Ann, Bob. Cyd, and Dan. Suppose that Bob is not qualified to be treasurer and Cyd’s other commitments make it impossible for her to be secretary.

Concept used:

From four people Ann, Bob, Cyd and Dan, 3 of them have to be selected for the positions of president, treasurer and secretary.

However, the restrictions are that Bob Is not qualified to be treasurer, and Cyd cannot be the secretary.

Thus, for the post of secretary either Ann, Bob, or Dan can be selected.

Let Ann be selected for the post of secretary.

Then, for the remaining two posts, we have to select from Bob, Cyd and Dan.

Therefore, Cyd or Dan can be selected for this post once the treasurer is selected. From the remaining two people, one of them has to be selected for the position of president.

The following tree diagram shows the Ann is selected for the post of secretary.

Secretary Treasurer President

Ann Cyd BobAnn Cyd DanAnn Dan BobAnn Dan Cyd

If Bob is selected as secretary, any of Ann Cyd or Dan can be selected as treasurer

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Chapter 9.2,
Problem 18ES
Chapter 9.2,
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Chapter 9 Solutions

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Sect-9.1 P-1TYSect-9.1 P-2TYSect-9.1 P-3TYSect-9.1 P-4TYSect-9.1 P-1ESSect-9.1 P-2ESSect-9.1 P-3ESSect-9.1 P-4ESSect-9.1 P-5ESSect-9.1 P-6ES
Sect-9.1 P-7ESSect-9.1 P-8ESSect-9.1 P-9ESSect-9.1 P-10ESSect-9.1 P-11ESSect-9.1 P-12ESSect-9.1 P-13ESSect-9.1 P-14ESSect-9.1 P-15ESSect-9.1 P-16ESSect-9.1 P-17ESSect-9.1 P-18ESSect-9.1 P-19ESSect-9.1 P-20ESSect-9.1 P-21ESSect-9.1 P-22ESSect-9.1 P-23ESSect-9.1 P-24ESSect-9.1 P-25ESSect-9.1 P-26ESSect-9.1 P-27ESSect-9.1 P-28ESSect-9.1 P-29ESSect-9.1 P-30ESSect-9.1 P-31ESSect-9.1 P-32ESSect-9.1 P-33ESSect-9.2 P-1TYSect-9.2 P-2TYSect-9.2 P-3TYSect-9.2 P-4TYSect-9.2 P-5TYSect-9.2 P-6TYSect-9.2 P-1ESSect-9.2 P-2ESSect-9.2 P-3ESSect-9.2 P-4ESSect-9.2 P-5ESSect-9.2 P-6ESSect-9.2 P-7ESSect-9.2 P-8ESSect-9.2 P-9ESSect-9.2 P-10ESSect-9.2 P-11ESSect-9.2 P-12ESSect-9.2 P-13ESSect-9.2 P-14ESSect-9.2 P-15ESSect-9.2 P-16ESSect-9.2 P-17ESSect-9.2 P-18ESSect-9.2 P-19ESSect-9.2 P-20ESSect-9.2 P-21ESSect-9.2 P-22ESSect-9.2 P-23ESSect-9.2 P-24ESSect-9.2 P-25ESSect-9.2 P-26ESSect-9.2 P-27ESSect-9.2 P-28ESSect-9.2 P-29ESSect-9.2 P-30ESSect-9.2 P-31ESSect-9.2 P-32ESSect-9.2 P-33ESSect-9.2 P-34ESSect-9.2 P-35ESSect-9.2 P-36ESSect-9.2 P-37ESSect-9.2 P-38ESSect-9.2 P-39ESSect-9.2 P-40ESSect-9.2 P-41ESSect-9.2 P-42ESSect-9.2 P-43ESSect-9.2 P-44ESSect-9.2 P-45ESSect-9.2 P-46ESSect-9.2 P-47ESSect-9.3 P-1TYSect-9.3 P-2TYSect-9.3 P-3TYSect-9.3 P-4TYSect-9.3 P-5TYSect-9.3 P-1ESSect-9.3 P-2ESSect-9.3 P-3ESSect-9.3 P-4ESSect-9.3 P-5ESSect-9.3 P-6ESSect-9.3 P-7ESSect-9.3 P-8ESSect-9.3 P-9ESSect-9.3 P-10ESSect-9.3 P-11ESSect-9.3 P-12ESSect-9.3 P-13ESSect-9.3 P-14ESSect-9.3 P-15ESSect-9.3 P-16ESSect-9.3 P-17ESSect-9.3 P-18ESSect-9.3 P-19ESSect-9.3 P-20ESSect-9.3 P-21ESSect-9.3 P-22ESSect-9.3 P-23ESSect-9.3 P-24ESSect-9.3 P-25ESSect-9.3 P-26ESSect-9.3 P-27ESSect-9.3 P-28ESSect-9.3 P-29ESSect-9.3 P-30ESSect-9.3 P-31ESSect-9.3 P-32ESSect-9.3 P-33ESSect-9.3 P-34ESSect-9.3 P-35ESSect-9.3 P-36ESSect-9.3 P-37ESSect-9.3 P-38ESSect-9.3 P-39ESSect-9.3 P-40ESSect-9.3 P-41ESSect-9.3 P-42ESSect-9.3 P-43ESSect-9.3 P-44ESSect-9.3 P-45ESSect-9.3 P-46ESSect-9.3 P-47ESSect-9.3 P-48ESSect-9.3 P-49ESSect-9.4 P-1TYSect-9.4 P-2TYSect-9.4 P-3TYSect-9.4 P-3ESSect-9.4 P-4ESSect-9.4 P-5ESSect-9.4 P-6ESSect-9.4 P-7ESSect-9.4 P-8ESSect-9.4 P-9ESSect-9.4 P-10ESSect-9.4 P-11ESSect-9.4 P-12ESSect-9.4 P-13ESSect-9.4 P-14ESSect-9.4 P-15ESSect-9.4 P-16ESSect-9.4 P-17ESSect-9.4 P-18ESSect-9.4 P-19ESSect-9.4 P-20ESSect-9.4 P-21ESSect-9.4 P-22ESSect-9.4 P-23ESSect-9.4 P-24ESSect-9.4 P-25ESSect-9.4 P-26ESSect-9.4 P-27ESSect-9.4 P-28ESSect-9.4 P-29ESSect-9.4 P-30ESSect-9.4 P-31ESSect-9.4 P-32ESSect-9.4 P-33ESSect-9.4 P-34ESSect-9.4 P-35ESSect-9.4 P-36ESSect-9.4 P-37ESSect-9.4 P-38ESSect-9.4 P-39ESSect-9.4 P-40ESSect-9.5 P-1TYSect-9.5 P-2TYSect-9.5 P-3TYSect-9.5 P-4TYSect-9.5 P-5TYSect-9.5 P-1ESSect-9.5 P-2ESSect-9.5 P-3ESSect-9.5 P-4ESSect-9.5 P-5ESSect-9.5 P-6ESSect-9.5 P-7ESSect-9.5 P-8ESSect-9.5 P-9ESSect-9.5 P-10ESSect-9.5 P-11ESSect-9.5 P-12ESSect-9.5 P-13ESSect-9.5 P-14ESSect-9.5 P-15ESSect-9.5 P-16ESSect-9.5 P-17ESSect-9.5 P-18ESSect-9.5 P-19ESSect-9.5 P-20ESSect-9.5 P-21ESSect-9.5 P-22ESSect-9.5 P-23ESSect-9.5 P-24ESSect-9.5 P-25ESSect-9.5 P-26ESSect-9.5 P-27ESSect-9.5 P-28ESSect-9.5 P-29ESSect-9.5 P-30ESSect-9.6 P-1TYSect-9.6 P-2TYSect-9.6 P-3TYSect-9.6 P-1ESSect-9.6 P-2ESSect-9.6 P-3ESSect-9.6 P-4ESSect-9.6 P-5ESSect-9.6 P-6ESSect-9.6 P-7ESSect-9.6 P-8ESSect-9.6 P-9ESSect-9.6 P-10ESSect-9.6 P-11ESSect-9.6 P-12ESSect-9.6 P-13ESSect-9.6 P-14ESSect-9.6 P-15ESSect-9.6 P-16ESSect-9.6 P-17ESSect-9.6 P-18ESSect-9.6 P-19ESSect-9.6 P-20ESSect-9.6 P-21ESSect-9.7 P-1TYSect-9.7 P-2TYSect-9.7 P-3TYSect-9.7 P-4TYSect-9.7 P-5TYSect-9.7 P-6TYSect-9.7 P-7TYSect-9.7 P-1ESSect-9.7 P-2ESSect-9.7 P-3ESSect-9.7 P-4ESSect-9.7 P-5ESSect-9.7 P-6ESSect-9.7 P-7ESSect-9.7 P-8ESSect-9.7 P-9ESSect-9.7 P-10ESSect-9.7 P-11ESSect-9.7 P-12ESSect-9.7 P-13ESSect-9.7 P-14ESSect-9.7 P-15ESSect-9.7 P-16ESSect-9.7 P-17ESSect-9.7 P-18ESSect-9.7 P-19ESSect-9.7 P-20ESSect-9.7 P-21ESSect-9.7 P-22ESSect-9.7 P-23ESSect-9.7 P-24ESSect-9.7 P-25ESSect-9.7 P-26ESSect-9.7 P-27ESSect-9.7 P-28ESSect-9.7 P-29ESSect-9.7 P-30ESSect-9.7 P-31ESSect-9.7 P-32ESSect-9.7 P-33ESSect-9.7 P-34ESSect-9.7 P-35ESSect-9.7 P-36ESSect-9.7 P-37ESSect-9.7 P-38ESSect-9.7 P-39ESSect-9.7 P-40ESSect-9.7 P-41ESSect-9.7 P-42ESSect-9.7 P-43ESSect-9.7 P-44ESSect-9.7 P-45ESSect-9.7 P-46ESSect-9.7 P-47ESSect-9.7 P-48ESSect-9.7 P-49ESSect-9.7 P-50ESSect-9.7 P-51ESSect-9.7 P-52ESSect-9.7 P-53ESSect-9.7 P-54ESSect-9.7 P-55ESSect-9.8 P-1TYSect-9.8 P-2TYSect-9.8 P-3TYSect-9.8 P-4TYSect-9.8 P-5TYSect-9.8 P-1ESSect-9.8 P-2ESSect-9.8 P-3ESSect-9.8 P-4ESSect-9.8 P-5ESSect-9.8 P-6ESSect-9.8 P-7ESSect-9.8 P-8ESSect-9.8 P-9ESSect-9.8 P-10ESSect-9.8 P-11ESSect-9.8 P-12ESSect-9.8 P-13ESSect-9.8 P-14ESSect-9.8 P-15ESSect-9.8 P-16ESSect-9.8 P-17ESSect-9.8 P-18ESSect-9.8 P-19ESSect-9.8 P-20ESSect-9.8 P-21ESSect-9.8 P-22ESSect-9.8 P-23ESSect-9.9 P-1TYSect-9.9 P-2TYSect-9.9 P-3TYSect-9.9 P-4TYSect-9.9 P-1ESSect-9.9 P-2ESSect-9.9 P-3ESSect-9.9 P-4ESSect-9.9 P-5ESSect-9.9 P-6ESSect-9.9 P-7ESSect-9.9 P-8ESSect-9.9 P-9ESSect-9.9 P-10ESSect-9.9 P-11ESSect-9.9 P-12ESSect-9.9 P-13ESSect-9.9 P-14ESSect-9.9 P-15ESSect-9.9 P-16ESSect-9.9 P-17ESSect-9.9 P-18ESSect-9.9 P-19ESSect-9.9 P-20ESSect-9.9 P-21ESSect-9.9 P-22ESSect-9.9 P-23ESSect-9.9 P-24ESSect-9.9 P-25ESSect-9.9 P-26ESSect-9.9 P-27ESSect-9.9 P-28ESSect-9.9 P-29ESSect-9.9 P-30ESSect-9.9 P-31ESSect-9.9 P-32ESSect-9.9 P-33ESSect-9.9 P-34ES
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