A classroom has 30 students and 30 desks arranged in 5 rows of 6. If the class has 15 boys and
15 girls, in how many ways can the students be placed in the chairs such that no boy is sitting in front
of, behind, or next to another boy, and no girl is sitting in front of, behind, or next to another girl?
15 girls, in how many ways can the students be placed in the chairs such that no boy is sitting in front
of, behind, or next to another boy, and no girl is sitting in front of, behind, or next to another girl?
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