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

(a) What is a combination of r elements of a set? How many combinations are there of n elements taken r at a time?

(b) How many subsets does a set with n elements have?

(c) A pizza parlor offers ten different toppings. How many three-topping pizzas are possible? How many pizzas are possible?

To determine

(a)

To explain:

The combination of r elements, and find the number of combinations of n elements taken r at a time.

Explanation

Approach:

A combination of r elements from a set is any subset of the set that contains r elements.

If a set has n objects, then the number of combinations of r elements from the set is denoted C(n,r) and is called the number of combinations of n objects taken r at a time is given by,

C(n,r)=n!r!

To determine

(b)

To find:

The number of subset does a set with n elements have.

To determine

(c)

To find:

The possible number of three topping pizzas, and number of possible pizzas.

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