A family of $7$, consisting of a father, mother, $2$ sisters, and $3$ brothers is queuing in a

Question

A family of $7$, consisting of a father, mother, $2$ sisters, and $3$ brothers is queuing in a line. Find the number of different possible arrangements if the sisters stand next to each other and the brothers are all next to each other.[2] if either the father is first in the queue or mother is last in the queue (or both).[3] The family is queuing in a line in a random order. Find the probability that no two brothers stand next to each other.[3]

Accepted Answer

(i)(a)288 (i)(b)1320 (ii)$\frac{2}{7}$

2024 ACJC H1 Q11

2024 ACJC H1 Q11