A hint to get started
Distinguish circular rotations from numbered seats
Three single men, two single women and two families take their places at a round table. Each of the two families consists of two parents and one child. Find the number of possible seating arrangements if
(i) members of the same family are seated together and the two single women are separated,
(ii) the seats are numbered and each child sits between their parents.
[2007/HCI/II/5]
CJC · Discussion · Question 8
A circle with five base objects has five gaps, not six.