Ten honors students, each from a different high school in a county are lined up in two rows of five for a photo. How many arrangements are possible if: (a) Students from school A and School B cannot be in the same row; (b) Students from school A and School C cannot be in the same row; (c) Students from School D and School B cannot be in the same row; (d) Students from School D and School C cannot be in the same row.

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 2T: A hospital cafeteria offers a fixed-price lunch consisting of a main course, a dessert and a drink....
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Ten honors students, each from a different high school in a county are lined up in two rows of five for a photo. How many arrangements are possible if:
(a) Students from school A and School B cannot be in the same row;
(b) Students from school A and School C cannot be in the same row;
(c) Students from School D and School B cannot be in the same row:
(d) Students from School D and School C cannot be in the same row.
Transcribed Image Text:Ten honors students, each from a different high school in a county are lined up in two rows of five for a photo. How many arrangements are possible if: (a) Students from school A and School B cannot be in the same row; (b) Students from school A and School C cannot be in the same row; (c) Students from School D and School B cannot be in the same row: (d) Students from School D and School C cannot be in the same row.
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