20 points) 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 STUDENTS FROM SCHOOL  A  AND SCHOOL  D REFUSE TO BE IN THE SAME ROW AS THE STUDENTS FROM SCHOOL  B AND SCHOOL  C……….IN OTHER WORDS SATISFYING THE FOLLOWING CONSTRAINTS SIMULTANEOUSLY: Students from school A and School B cannot be in the same row; Students from school A and School C cannot be in the same row; Students from School D and School B cannot be in the same row; Students from School D and School C cannot be in the same row.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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  1. (20 points) 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 STUDENTS FROM SCHOOL  A  AND SCHOOL  D REFUSE TO BE IN THE SAME ROW AS THE STUDENTS FROM SCHOOL  B AND SCHOOL  C……….IN OTHER WORDS SATISFYING THE FOLLOWING CONSTRAINTS SIMULTANEOUSLY:
  • Students from school A and School B cannot be in the same row;
  • Students from school A and School C cannot be in the same row;
  • Students from School D and School B cannot be in the same row;
  • Students from School D and School C cannot be in the same row.
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