At a dinner party, 8 people are to be seated around a circular table. 2 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 option:
A) 5
B) 10
C) 24
D) 32
E) 5040
Soln: Since the arrangement is circular and 2 seating arrangements are considered different only when the positions of the people are different relative to each other, we can find the total number of possible seating arrangements, by fixing one person's position and arranging the others.   Thus if one person's position is fixed, the others can be arranged in 7! = 5040 ways.   Ans is 5040.
<result>E</result>
At a dinner party, 8 people are to be seated around a circular table. 2 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?