2025 DHS P2 Q7

Twelve students from three CCAs organised an overseas learning trip to Shanghai. It comprises \(5\) students from Tennis, \(4\) students from Bowling and \(3\) students from Softball. The available seats for the flight for them to choose from are shown on the diagram as follows:

1. In how many different ways can the students be seated if there is a particular student who must be seated nearest to the emergency exit?[2]
2. Find the number of ways they can be seated if two particular students do not want to be seated on any of the aisle seats.[3]
3. Find the number of ways they can be seated if students of the same CCA must be seated together either front and back or left and right, and cannot be separated by an aisle. For example, the three students from Softball can be seated at Row \(56\) Seat \(G\), \(H\) and Row \(57\) Seat \(G\), but not Row \(56\) Seat \(H\), \(I\) and Row \(57\) Seat \(G\).[3]