SOLUTION: In a classroom, the same 5 students sit in the first row everyday, and the same 4 students sit in the second row everyday. Each row contains a total of 8 seats. How many different

Question 963423: In a classroom, the same 5 students sit in the first row everyday, and the same 4 students sit in the second row everyday. Each row contains a total of 8 seats. How many different seating arrangements would there be in total if the students were to change their seats in their respective rows daily?
Answer by Edwin McCravy(20054) (Show Source): You can put this solution on YOUR website!
In a classroom, the same 5 students sit in the first row everyday, and the
same 4 students sit in the second row everyday. Each row contains a total of 8
seats. How many different seating arrangements would there be in total if the
students were to change their seats in their respective rows daily?

First row:
We can choose the first row seats to be used 8C5 ways.
We can then choose their seating order in those 5 seats chosen in 5P5 = 5! ways
We can then choose the second row seats to be used 8C4 ways.
We can then choose their seating order in those 4 seats chosen in 4P4 = 4! ways

Answer: 8C5*5P5*8C4*4P4 = 11289600

Edwin

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