So many students have been asking for more practice. I’ll put up all the Prelim Papers for 2016 here. Do note that the syllabus is 9740 so students should practice discretion and skip questions that are out of syllabus. 🙂
(c) In how many ways can 5 copies of a book be distributed among 10 people if each person can get any number of books?
Notice that the difference between (b) and (c) is that the book distributed is not identical. So for (c), we are pretty much distributing identical balls to distinct boxes. Whereas for (b) , we are pretty much distributing distinct balls to distinct boxes.
A gambler bets on one of the integers from 1 to 6. Three fair dice are then rolled. If the gambler’s number appears times (), he wins $ . If his number fails to appear, he loses $1. Calculate the gambler’s expected winnings
The mean number of a particular type of weed that grow on the field is a constant.
A particular type of weed growing on the field is independent of another particular type of weed growing on the field.
Let X be the number of dandelion growing per .