2011 SRJC MYE Q11
(a)
In how many ways can three identical prizes be distributed among six students, if each student can get any number of prizes?
[4]
(b)
Two Math teachers, five Science teachers and three English teachers have been invited to attend a seminar.
(i) What is the total possible number of ways that the organizer can split the teachers into two groups with the same number of teachers each: one discussing Topic $A$ and the other discussing Topic $B$?
[2]
The ten teachers are now seated at a round table. Find the number of possible arrangements such that
(ii) All the English teachers are now seated together and a Math teach sits on each side of the English teachers.
[3]
(iii) The chairs are numbered and no two Science teachers sit together.
[3]
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