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Nine friends sit around a circular table. Two of the friends, April and Dave, want exactly two people to be between them. How many different seatings are possible? (As usual, two seatings are considered the same if one is a rotation of the other.)

 Dec 20, 2019

Best Answer 

 #2
avatar+108734 
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Nine friends sit around a circular table. Two of the friends, April and Dave, want exactly two people to be between them. How many different seatings are possible? (As usual, two seatings are considered the same if one is a rotation of the other.)

 

Sit the two friends. Two ways.

There are 7 places left 

I believe that the answer is  2*7! = 10080 permutations.

 Dec 21, 2019
 #1
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*******

 

 

cool cool cool

 Dec 20, 2019
edited by CPhill  Dec 20, 2019
edited by CPhill  Dec 21, 2019
edited by CPhill  Dec 21, 2019
 #2
avatar+108734 
+3
Best Answer

Nine friends sit around a circular table. Two of the friends, April and Dave, want exactly two people to be between them. How many different seatings are possible? (As usual, two seatings are considered the same if one is a rotation of the other.)

 

Sit the two friends. Two ways.

There are 7 places left 

I believe that the answer is  2*7! = 10080 permutations.

Melody Dec 21, 2019

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