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 SchoolB 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.
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 SchoolB 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.
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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![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F633e5403-239a-44c3-8b31-a95657f5f0d1%2F44c2afcd-a837-4cfd-a13e-fdd7796dec0b%2Fr72m3us_processed.jpeg&w=3840&q=75)
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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