2021 RVHS J2 CT Q9
An ice-cream café sells a mega sundae in which the customer will order $5$ scoops of ice-cream. The staff will arrange the $5$ scoops on a plate in either a circular or row manner. The café offers exactly $10$ distinct flavours of ice-cream daily
(a)
Find the number of ways the mega sundae can be arranged in a circular manner if $5$ distinct flavours of ice- cream are to be chosen.
[1]
(b)
A customer decides to order the vanilla, chocolate and banana flavour among the flavours for all $5$ scoops of ice-cream but does not specify the number of scoops for each flavour, i.e., some flavour of ice-cream can have $2$ or more scoops.
Find the number of ways the staff can arrange the mega sundae in a row manner.
[2]
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