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60 wedding guests are to be seated at 10 circular tables, each with 6 seats. Two...

60 wedding guests are to be seated at 10 circular tables, each with 6 seats. Two seating arrangements are considered the same if the person to the left of each person is unchanged. How many seating arrangements are possible, and why?

Math   Statistics-And-Probability   
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Answer #1

We have a case of circular arrangement.

The number of arrangements of n distinct objects in a row is given by n!
The number of arrangements of n distinct objects in a circle is given by (n−1)!(n−1)!

"The difference between placement in a row and that in a circle is following: if we shift all object by one position, we will get different arrangement in a row but the same relative arrangement in a circle. So, for the number of circular arrangements of n objects we have:

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