Recall the following question from the midterm: A mathematics department has n professors and 2n courses, two assigned to each professor each semester. How many ways are there to assign the courses in fall semester? The correct answer to this (2n)! question was: 2" Now let n = 3. How many ways are there to assign the courses in the spring semester so that no professor teaches the same two courses in the spring as in the fall?

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Recall the following question from the midterm: A
mathematics department has n professors and 2n
courses, two assigned to each professor each
semester. How many ways are there to assign the
courses in fall semester? The correct answer to this
(2n)!
question was:
2"
Now let n = 3. How many ways are there to assign
the courses in the spring semester so that no
professor teaches the same two courses in the
spring as in the fall?
Answer:
Transcribed Image Text:Recall the following question from the midterm: A mathematics department has n professors and 2n courses, two assigned to each professor each semester. How many ways are there to assign the courses in fall semester? The correct answer to this (2n)! question was: 2" Now let n = 3. How many ways are there to assign the courses in the spring semester so that no professor teaches the same two courses in the spring as in the fall? Answer:
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