2022 ASRJC P2 Q5

2022 ASRJC P2 Q5

5 marks
Prelims

Two families, each consisting of an adult couple and three children visited a carnival together. The \(10\) people went to queue for a ride randomly in one straight line.

  1. Find the probability that members of the \(2\) families stand in alternate positions in that queue.[2]

If the ride is made up of two identical circular carriages of five identical seats each.

  1. Find the number of ways the \(10\) people can be seated if not all the family members are seated together in the same carriage.[3]

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Answer:(i) \(\frac{1}{126}\) (ii) \(72\,000\)

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