Question 1210420
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In how many ways can 5 people be seated in 8 chairs around a round table?
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<pre>
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  {{{(8*7*6*5*4)/8}}} = 7*6*5*4 = 840.


<U>ANSWER</U>.  For this problem there are 840 distinguishable circular permutations.
</pre>

Solved.