2020 TMJC P2 Q6
2020 TMJC P2 Q6
6 marks
Prelims
At Lalaland pre-school, Josh and his eight other classmates sit around a triangular table as shown in the diagram below.
- Find the number of ways to seat the \(9\) students such that
- there are no restrictions,[1]
- Josh does not sit next to one particular student on the same side of the triangular table.[2]
- During music lesson, Josh and his classmates are to stand in a circle. Find the number of different possible arrangements if Josh wants to be adjacent to at least one of his good friends, Eden and Farhan.[3]
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Answer:(i)(a) \(362\,880\) (i)(b) \(302\,400\) (ii) \(18\,720\)
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