2022 YIJC P2 Q6
A group of $12$ people consist of $5$ men and $7$ women. One of the women is the wife of one of the men.
(a)
How many committees of $5$ can be formed which include at least $3$ women?
[2]
(b)
The $12$ people sit at random at a round table. Find the probability that the husband and his wife are seated together and no two men are next to each other.
[3]
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