<ol class="abc-list"><li><div class="list-item-paragraph">In how many ways can three identical prizes be distributed among six students, if each student can get any number of prizes?</div><p style="text-align: right;">[4]</p></li><li><div class="list-item-paragraph">Two Math teachers, five Science teachers and three English teachers have been invited to attend a seminar.</div><ol class="i-list"><li><div class="list-item-paragraph">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 $B$?</div><p style="text-align: right;">[2]</p><div class="list-item-paragraph">The ten teachers are now seated at a round table. Find the number of possible arrangements such that</div></li><li><div class="list-item-paragraph">All the English teachers are now seated together and a Math teach sits on each side of the English teachers.</div><p style="text-align: right;">[3]</p></li><li><div class="list-item-paragraph">The chairs are numbered and no two Science teachers sit together.</div><p style="text-align: right;">[3]</p></li></ol></li></ol>

In how many ways can three identical prizes be distributed among six students, if each student can get any number of prizes?

Two Math teachers, five Science teachers and three English teachers have been invited to attend a seminar.

2011 SRJC MYE Q11

2011 SRJC MYE Q11

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