2008 TPJC P2 Q7

2008 TPJC P2 Q7

Prelims

A rotating platform with identical sectors is installed in a carnival. Each sector can take up to two persons.

A group of \(4\) friends and \(3\) individuals boarded the platform and occupied all the sectors.

[For the following questions, you do not need to consider the arrangement within each sector.]

If the \(4\) friends requested that they will stand in \(2\) adjacent sectors, find the number of ways in which this group of people can be arranged.
If the \(4\) friends must stand in \(4\) different sectors, find the number of ways in which this group of people can be arranged.

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Answer:(i) \(36\) (ii) \(1\,152\)

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