2022 ASRJC J2 MYCT P2 Q3
Timothy Gan
2022 ASRJC J2 MYCT P2 Q3
A group of $3$ sisters, $2$ brothers and $5$ other boys attends a meeting in a room.
(i)
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.
(ii)
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.
(iii)
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]
(iv)
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.
(v)
Find the number of ways such that either all the sisters are seated together or all the brothers are seated together or both.
[2]
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