2022 EJC J2 MYE P2 Q8
Timothy Gan
2022 EJC J2 MYE P2 Q8
The Frisbee CCA has $12$ students, comprising $6$ male students and $6$ female students.
(a)
Find the number of ways of grouping the students if
(i) there is one group of $3$ students, one group of $4$ students and one group of $5$ students,
[1]
(ii) there are three groups of 4 students each, and there must be an equal number of male and female students in each group.
[3]
(b)
How many ways can the students be arranged in a row if three particular female students must stand together, and the male students are not all standing together?
[3]
(c)
The students are now seated in a circle. Find the number of ways to arrange the students if
(i) there are no restrictions,
[1]
(ii) the captain and vice-captain must not sit together.
[2]
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