2024 JPJC H1 Q8

A team of \(5\) is to be chosen from \(6\) men and \(10\) women.

1. Find the number of ways in which the team be chosen if there are no restrictions.[1]
2. Find the probability that the team can be chosen if it must contain at least one men.[2]

A family consisting of a father, a mother, two daughters and one son are members of the group of \(16\).

3. Find the probability that the team of \(5\) can be chosen if it must include the father, the mother and one of their daughters but not the son.[3]
4. The family of \(5\) and another \(3\) particular members from the group decide to stand in line to take a photograph. Find the number of ways these people can stand if the son must stand between the father and mother and the two daughters must be separated.[3]