ular table. 0:A family has 3 boys and 2 girls. (a) Find the number of ways they can sit in a row; (b) How many ways are there if the boys and girls are each to sit together

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 74E: Lottery Powerball is a lottery game that is operated by the Multi-State Lottery Association and is...
icon
Related questions
icon
Concept explainers
Question
100%
Answer
2A family has 3 boys and 2 girls. (a) Find the number of ways they can
sit in a row; (b) How many ways are there if the boys and girls are each
(ii) around a circular table.
or ways that 4 people can sit in (i) a row of 4 seats;
to sit together.
3.
3!2! 21 21
3x2 Yay2
Circular arrangements
Permutations in which objects are arranged in a circle.
Consider 4 people (A, B, C, D) around a rircular table
The arrangements ABCD, BCDA, CDEA,
DABC are different in line but are
identical around a circle.
Transcribed Image Text:2A family has 3 boys and 2 girls. (a) Find the number of ways they can sit in a row; (b) How many ways are there if the boys and girls are each (ii) around a circular table. or ways that 4 people can sit in (i) a row of 4 seats; to sit together. 3. 3!2! 21 21 3x2 Yay2 Circular arrangements Permutations in which objects are arranged in a circle. Consider 4 people (A, B, C, D) around a rircular table The arrangements ABCD, BCDA, CDEA, DABC are different in line but are identical around a circle.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Correlation, Regression, and Association
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage