Mathematics: PERMUTATION - COMBINATION Topical Past Paper Questions

At a gathering of 12 teachers, seven are male and five are female. A group of five of these teachers go out for a meal together. Determine the possible number of groups in each of the following situations: (a) There are more males than females in the group. [4] (b) Two of the tea…

[Maximum mark: 8] Eight boys and two girls sit on a bench. Determine the number of possible arrangements, given that (a) the girls do not sit together; (b) the girls do not sit on either end; (c) the girls do not sit on either end and do not sit together. [3] [2] [3] [3] [3] [3]

A team of four is to be chosen from a group of four boys and four girls. (a) Find the number of different possible teams that could be chosen. (b) Find the number of different possible teams that could be chosen, given that the team must include at least one girl and at least one…