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In how many ways can we seat 6 people around a table if Al and Joe won't sit next to each other? (Two seatings are the same if one is a rotation of the other.)

 Dec 4, 2020
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Place Joe in any chair

 

Then  Al  can occupy  any of  3  chairs  (except the two next to Joe) = 3  ways

 

And the other people  can sit  in  4!  = 24 ways  for each of these arrangements

 

So   3 * 24  =  72  ways

 

 

 

cool cool cool

 Dec 4, 2020

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