2022 ASRJC J2 MYCT P2 Q3

A group of \(3\) sisters, \(2\) brothers and \(5\) other boys attends a meeting in a room.

1. Find the number of ways to form two groups of \(5\) for a discussion.[1]

Before they go for their lunch break, they decide to form two rows to have a group picture taken. The first row consists of \(6\) people while the second row consists of \(4\) people.

2. Find the number of ways where all the sisters are separated but are standing in the same row.)[2]

During lunch break, the \(10\) people go for an international buffet.

3. Find the number of different seating arrangements in a round table if not all the sisters are seated next to each other.
   One of the boys goes to the salad bar to make his salad. There are\(~8\) different food ingredients to choose from.[2]
4. Find the number of ways he can make a salad.[1]

After the meeting, the \(10\) people bought movie tickets to watch a show together in a row with \(10\) seats.

5. Find the number of ways such that either all the sisters are seated together or all the brothers are seated together or both.[2]