How many ways can six friends be arranged around a circular dinner table?  Choose the correct choice:
A) 16
B) 48
C) 96
D) 120
E) 720
The number of arrangements of n distinct objects in a row is given by n!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:   n!n=(n−1)!n!n=(n−1)!.   So, the answer is (6 - 1)= 
<gadget id="calculator">(6 - 1)</gadget>
<output>5</output>
5!= 120.   Answer: 120.
<result>D</result>
How many ways can six friends be arranged around a circular dinner table?