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In how many ways can we seat 6 people around a round table if Fred and Gwen insist on sitting so that one person is between them? (Two seatings are considered equivalent if one is a rotation of the other.)

 Jul 4, 2022
 #1
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Let Fred and Gwynn  occupy any two chairs....and they can be seated in 2 ways

 

The other 4 people can  be  seated in 4! =  24 ways

 

So

 

2 * 24  = 

 

48 ways

 

cool cool cool

 Jul 4, 2022

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