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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 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:

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:

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 24EQ: Suppose the coal and steel industries form a closed economy. Every $1 produced by the coal industry...
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  1.  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.\

There is only one answer. These are not different parts! The above conditions should be satisfied at the same time.

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