Concept explainers
(a)
To find:
The total number of subsets of
(a)
Answer to Problem 2WE
The total number of subsets is
Explanation of Solution
Given:
The total number of subsets of
Concept used:
A subset is formed by taking either
Calculation:
The number of ways of selecting none is
The number of ways of selecting
The number of ways of selecting
The number of ways of selecting
The total number of subset possible is
By property of sum of binomial coefficient
The total number of subsets of
Using equation (1)
Hence ,
The total number of subsets is
(b)
To find:
The subsets in the sum of the digits is containing atleast
(b)
Answer to Problem 2WE
Explanation of Solution
Given:
The subsets in the sum of the digits is
Concept used:
A subset is formed by taking either
Calculation:
The number of ways of selecting none is
The number of ways of selecting
The number of ways of selecting
The number of ways of selecting
The total number of subset possible is
By property of sum of binomial coefficient
The subsets in the sum of the digits is
Using equation (1)
Hence ,
The subsets in the sum of the digits is
Chapter 15 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
Additional Math Textbook Solutions
College Algebra (6th Edition)
Differential Equations and Linear Algebra (4th Edition)
College Algebra (5th Edition)
Graphical Approach To College Algebra
Linear Algebra with Applications (2-Download)
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education