2020 TMJC P2 Q6
At Lalaland pre-school, Josh and his eight other classmates sit around a triangular table as shown in the diagram below.
(i)
Find the number of ways to seat the $9$ students such that
(a) there are no restrictions,
[1]
(b) Josh does not sit next to one particular student on the same side of the triangular table.
[2]
(ii)
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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