Suppose 4 persons $A,B,C$ and $D$ sit around a round table with 8 seats. Rotation by 8,16,24,... seats defines same arrangement and other rotations gives different arrangements. Find the number of ways that these four people can be seated at the round table.
Place one person in any seat; that is a reference seat.
Now 3 persons in 7 seats gives $7\times6\times5$ arrangements (if seats are not labeled)
or $8\times7\times6\times5$ (if seats are labeled)
Is this approach right?