SOLUTION: Eight guests have to be seated 4 on each sides of a long rectangular table 2 particular guests desire to sit on one side of the table and 3 on the other . The number of ways in whi
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Question 1044704: Eight guests have to be seated 4 on each sides of a long rectangular table 2 particular guests desire to sit on one side of the table and 3 on the other . The number of ways in which the sitting arrangements can be made is ? Answer by addingup(3677) (Show Source):
You can put this solution on YOUR website! The table has two sides, select one: = 2
Arrange 2 on one side: 2! = 2 (1*2)
Arrange 3 on the other side: 3! = 6 (1*2*3)
We now have 3 guests that still need to be seated.
Select 2 out of 3: 3 choose 2 = 3
Place them on the side with 2: 1
Place the remaining guest on the side with 3: 1
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Total possible sitting arrangements: 2*2*6*3*1*1 = 72
