SOLUTION: In how many ways can 5 people be seated in 8 chairs around a round table?

Question 1210420: In how many ways can 5 people be seated in 8 chairs around a round table?
Answer by ikleyn(52926) (Show Source): You can put this solution on YOUR website!
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In how many ways can 5 people be seated in 8 chairs around a round table?
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For linear arrangements, the number of all possible distinguishable arrangements 
is  8*7*6*5*4, the number of all permutations of 5 different objects from 8 objects.


To account for the circular symmetry, we must divide this number by 8.


It gives the answer to the problem's question   = 7*6*5*4 = 840.


ANSWER.  For this problem there are 840 distinguishable circular permutations.

Solved.

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