SOLUTION: Twelve guests are to be seated for dinner, six of them have already chosen to sit in a row at a bar table, and the other six will sit in a circle at a round table. What is the tota

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Question 1132802: Twelve guests are to be seated for dinner, six of them have already chosen to sit in a row at a bar table, and the other six will sit in a circle at a round table. What is the total number of different seating arrangements for these guests?
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
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Six of them have already chosen to sit in a row at a bar table, and for them there are 6! = 1*2*3*4*5*6 = 720 seating arrangements.


For those remaining six persons sitting around the round table, there are 6%21%2F6 = 5! = 120  circular arrangements.


The answer is the product 720*120 = 86400 ways.

Solved.


By the way  (and by coincidence),  it is the number of seconds in a day  (24 hours * 3600 seconds = 86400 seconds).