At a meeting, 3 people are to be seated around a circular table. Two seating arrangements are considered different only when the positions of the people are different relative to each other. What is the total number of different possible seating arrangements for the group?
Choose the correct choice from the following answers.
A) 2
B) 7
C) C)120
D) D)144
E) E)720
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)!   "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:   R=n!-n=(n−1)!   (n−1)!=(7−1)!=720   Answer: E
<result>C</result>
At a meeting, 3 people are to be seated around a circular table. Two seating arrangements are considered different only when the positions of the people are different relative to each other. What is the total number of different possible seating arrangements for the group?