SOLUTION: Determine the number of ways to arrange 24 people around 3 circular tables where one table must accommodate exactly 9 people, the second exactly 8 people and the last table exactly

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Question 1024475: Determine the number of ways to arrange 24 people around 3 circular tables where one table must accommodate exactly 9 people, the second exactly 8 people and the last table exactly 7 people.
My solution :
[C(24,9)*8!]*[C(15,8)*7!]*[C(7,7)*6!]=1.23*10^21
Is this the correct way to solve the question?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The expression on the left side is correct. The thing on the right side is just an approximation.