To count circular arrangements:
1. Place someone in the circle.
2. Count the number of ways to arrange the REMAINING people.
LUANDATO wrote:At a dinner party 5 people are to be seated around a circular table. Two sitting arrangements are considered different only when the positions of the people are different relative to each other. What is the total number of possible sitting arrangements or the group?
A. 5
B. 10
C. 24
D. 32
E. 120
After one of the 5 people has been placed at the table, the number of ways to arrange the remaining 4 people = 4! = 24.
The correct answer is
C.
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