2022 SAJC P2 Q5

A group of \(10\) people consists of \(9\) men and \(1\) woman. Find the number of ways which the group can be seated at a round table with \(10\) identical chairs if

1. \(2\) particular men, Caleb and James are not seated beside the woman, but are seated next to each other.[3]

The \(10\) identical chairs at the table are replaced with \(10\) chairs of different colours.

2. Find the number of ways in which the group can be seated at the round table if Caleb, James and the woman are not all seated next to one another.[3]