A group of five boys (Alex, Bryan, Chris, David, and Ethan) and three girls (Megan, Nancy, and Olivia) are going to sit together in a row of 8 seats at a movie theater. (a) In how many ways can they seat themselves? (b) In how many ways can they seat themselves if the boys all sit together and the girls all sit together?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 4T: Over the past year, John has purchased 30 books. In how many ways can he pick four of these books...
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A group of five boys (Alex, Bryan, Chris, David, and Ethan) and three girls (Megan, Nancy, and Olivia) are going to sit together in a row of 8 seats at a movie theater.
(a) In how many ways can they seat themselves?
(b) In how many ways can they seat themselves if the boys all sit together and the girls all sit together?
Transcribed Image Text:A group of five boys (Alex, Bryan, Chris, David, and Ethan) and three girls (Megan, Nancy, and Olivia) are going to sit together in a row of 8 seats at a movie theater. (a) In how many ways can they seat themselves? (b) In how many ways can they seat themselves if the boys all sit together and the girls all sit together?
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