2008 TPJC P2 Q7
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.]
(i)
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.
(ii)
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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