Question 30
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4 men and 4 women sit round a table alternately, but a particular man and woman must not be neighbours. In how many ways?
- A 72 Correct
- B 144
- C 36
- D 108
Correct Answer: Option A
Alternate seatings: 3! × 4! = 144
Fix that man; the woman can sit in 2 neighbouring seats: 2 × 3! × 3! = 72
Not neighbours = 144 − 72 = 72
Answer: 72
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