Concept explainers
To show: whether permutation or combination would be use to find the number of possible arrangements of 10 students in a line.
Answer to Problem 8LC
The permutation is used.
Explanation of Solution
Given information:
The number of possible arrangements of 10 students in a line.
Formula used:
A combination is a selection of objects without regard to order. The expression
A permutation is an arrangement of objects in a specific order. The expression
For any positive integer
Calculation:
Consider ,
The number of possible arrangements of 10 students in a line.
We will use permutation because the term refers to arrangement of n number of objects in different ways.
Similarly, the arrangement can be on the bases of gender , roll number , height, weight and many more characteristics.
Hence, the permutation is to be used.
Chapter 12 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
Additional Math Textbook Solutions
Linear Algebra with Applications (2-Download)
College Algebra (10th Edition)
College Algebra (7th Edition)
Elementary and Intermediate Algebra: Concepts and Applications (7th Edition)
Graphical Approach To College Algebra
- 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