BuyFindarrow_forward

Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

Solutions

Chapter
Section
BuyFindarrow_forward

Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

APPLICATIONS

3 7 - 4 0 Counting Subsets These exercises involve counting subsets.

Subsets A set has eight elements.

(a) How many subsets containing five elements does this set have?

(b) How many subsets does this set have?

To determine

(a)

To find:

The number of subsets containing five elements.

Explanation

Given:

The set has 8 elements. The subsets have 5 elements.

Approach:

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

C(n,r)=n!r!(nr)!(1)

Calculation:

The number of combinations of 8 elements taken 5 at a time is calculated as follows.

Substitute n=8 and r=5 in the equation (1).

To determine

(b)

To find:

The total number of subsets of the sets.

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

Chapter 14 Solutions

Show all chapter solutions add
Sect-14.1 P-11ESect-14.1 P-12ESect-14.1 P-13ESect-14.1 P-14ESect-14.1 P-15ESect-14.1 P-16ESect-14.1 P-17ESect-14.1 P-18ESect-14.1 P-19ESect-14.1 P-20ESect-14.1 P-21ESect-14.1 P-22ESect-14.1 P-23ESect-14.1 P-24ESect-14.1 P-25ESect-14.1 P-26ESect-14.1 P-27ESect-14.1 P-28ESect-14.1 P-29ESect-14.1 P-30ESect-14.1 P-31ESect-14.1 P-32ESect-14.1 P-33ESect-14.1 P-34ESect-14.1 P-35ESect-14.1 P-36ESect-14.1 P-37ESect-14.1 P-38ESect-14.1 P-39ESect-14.1 P-40ESect-14.1 P-41ESect-14.1 P-42ESect-14.1 P-43ESect-14.1 P-44ESect-14.1 P-45ESect-14.1 P-46ESect-14.1 P-47ESect-14.1 P-48ESect-14.1 P-49ESect-14.1 P-50ESect-14.1 P-51ESect-14.1 P-52ESect-14.1 P-53ESect-14.1 P-54ESect-14.1 P-55ESect-14.1 P-56ESect-14.1 P-57ESect-14.1 P-58ESect-14.1 P-59ESect-14.1 P-60ESect-14.1 P-61ESect-14.1 P-62ESect-14.1 P-63ESect-14.1 P-64ESect-14.1 P-65ESect-14.1 P-66ESect-14.1 P-67ESect-14.1 P-68ESect-14.1 P-69ESect-14.1 P-70ESect-14.1 P-71ESect-14.1 P-72ESect-14.1 P-73ESect-14.1 P-74ESect-14.1 P-75ESect-14.1 P-76ESect-14.1 P-77ESect-14.1 P-78ESect-14.1 P-79ESect-14.1 P-80ESect-14.1 P-81ESect-14.1 P-82ESect-14.1 P-83ESect-14.1 P-84ESect-14.1 P-85ESect-14.1 P-86ESect-14.1 P-87ESect-14.1 P-88ESect-14.1 P-89ESect-14.1 P-90ESect-14.1 P-91ESect-14.1 P-92ESect-14.1 P-93ESect-14.1 P-94ESect-14.2 P-1ESect-14.2 P-2ESect-14.2 P-3ESect-14.2 P-4ESect-14.2 P-5ESect-14.2 P-6ESect-14.2 P-7ESect-14.2 P-8ESect-14.2 P-9ESect-14.2 P-10ESect-14.2 P-11ESect-14.2 P-12ESect-14.2 P-13ESect-14.2 P-14ESect-14.2 P-15ESect-14.2 P-16ESect-14.2 P-17ESect-14.2 P-18ESect-14.2 P-19ESect-14.2 P-20ESect-14.2 P-21ESect-14.2 P-22ESect-14.2 P-23ESect-14.2 P-24ESect-14.2 P-25ESect-14.2 P-26ESect-14.2 P-27ESect-14.2 P-28ESect-14.2 P-29ESect-14.2 P-30ESect-14.2 P-31ESect-14.2 P-32ESect-14.2 P-33ESect-14.2 P-34ESect-14.2 P-35ESect-14.2 P-36ESect-14.2 P-37ESect-14.2 P-38ESect-14.2 P-39ESect-14.2 P-40ESect-14.2 P-41ESect-14.2 P-42ESect-14.2 P-43ESect-14.2 P-44ESect-14.2 P-45ESect-14.2 P-46ESect-14.2 P-47ESect-14.2 P-48ESect-14.2 P-49ESect-14.2 P-50ESect-14.2 P-51ESect-14.2 P-52ESect-14.2 P-53ESect-14.2 P-54ESect-14.2 P-55ESect-14.2 P-56ESect-14.2 P-57ESect-14.2 P-58ESect-14.2 P-59ESect-14.2 P-60ESect-14.2 P-61ESect-14.2 P-62ESect-14.2 P-63ESect-14.2 P-64ESect-14.2 P-65ESect-14.2 P-66ESect-14.2 P-67ESect-14.2 P-68ESect-14.3 P-1ESect-14.3 P-2ESect-14.3 P-3ESect-14.3 P-4ESect-14.3 P-5ESect-14.3 P-6ESect-14.3 P-7ESect-14.3 P-8ESect-14.3 P-9ESect-14.3 P-10ESect-14.3 P-11ESect-14.3 P-12ESect-14.3 P-13ESect-14.3 P-14ESect-14.3 P-15ESect-14.3 P-16ESect-14.3 P-17ESect-14.3 P-18ESect-14.3 P-19ESect-14.3 P-20ESect-14.3 P-21ESect-14.3 P-22ESect-14.3 P-23ESect-14.3 P-24ESect-14.3 P-25ESect-14.3 P-26ESect-14.3 P-27ESect-14.3 P-28ESect-14.3 P-29ESect-14.3 P-30ESect-14.3 P-31ESect-14.3 P-32ESect-14.3 P-33ESect-14.3 P-34ESect-14.3 P-35ESect-14.3 P-36ESect-14.3 P-37ESect-14.3 P-38ESect-14.3 P-39ESect-14.3 P-40ESect-14.3 P-41ESect-14.3 P-42ESect-14.3 P-43ESect-14.4 P-1ESect-14.4 P-2ESect-14.4 P-3ESect-14.4 P-4ESect-14.4 P-5ESect-14.4 P-6ESect-14.4 P-7ESect-14.4 P-8ESect-14.4 P-9ESect-14.4 P-10ESect-14.4 P-11ESect-14.4 P-12ESect-14.4 P-13ESect-14.4 P-14ESect-14.4 P-15ESect-14.4 P-16ESect-14.4 P-17ESect-14.4 P-18ESect-14.4 P-19ESect-14.4 P-20ESect-14.4 P-21ESect-14.4 P-22ESect-14.4 P-23ESect-14.4 P-24ESect-14.4 P-25ESect-14.4 P-26ESect-14.4 P-27ESect-14.4 P-28ESect-14.4 P-29ESect-14.4 P-30ESect-14.4 P-31ESect-14.CR P-1CCSect-14.CR P-2CCSect-14.CR P-3CCSect-14.CR P-4CCSect-14.CR P-5CCSect-14.CR P-6CCSect-14.CR P-7CCSect-14.CR P-8CCSect-14.CR P-9CCSect-14.CR P-1ESect-14.CR P-2ESect-14.CR P-3ESect-14.CR P-4ESect-14.CR P-5ESect-14.CR P-6ESect-14.CR P-7ESect-14.CR P-8ESect-14.CR P-9ESect-14.CR P-10ESect-14.CR P-11ESect-14.CR P-12ESect-14.CR P-13ESect-14.CR P-14ESect-14.CR P-15ESect-14.CR P-16ESect-14.CR P-17ESect-14.CR P-18ESect-14.CR P-19ESect-14.CR P-20ESect-14.CR P-21ESect-14.CR P-22ESect-14.CR P-23ESect-14.CR P-24ESect-14.CR P-25ESect-14.CR P-26ESect-14.CR P-27ESect-14.CR P-28ESect-14.CR P-29ESect-14.CR P-30ESect-14.CR P-31ESect-14.CR P-32ESect-14.CR P-33ESect-14.CR P-34ESect-14.CR P-35ESect-14.CR P-36ESect-14.CR P-37ESect-14.CR P-38ESect-14.CR P-39ESect-14.CR P-40ESect-14.CR P-41ESect-14.CR P-42ESect-14.CR P-43ESect-14.CR P-44ESect-14.CR P-45ESect-14.CR P-46ESect-14.CR P-47ESect-14.CR P-48ESect-14.CR P-49ESect-14.CR P-50ESect-14.CT P-1CTSect-14.CT P-2CTSect-14.CT P-3CTSect-14.CT P-4CTSect-14.CT P-5CTSect-14.CT P-6CTSect-14.CT P-7CTSect-14.CT P-8CTSect-14.CT P-9CTSect-14.CT P-10CTSect-14.CT P-11CTSect-14.CT P-12CTSect-14.CT P-13CTSect-14.CT P-14CTSect-14.CT P-15CTSect-14.FOM P-1PSect-14.FOM P-2PSect-14.FOM P-3PSect-14.FOM P-5PSect-14.FOM P-6PSect-14.FOM P-7P