2018 MJC P2 Q5

2018 MJC P2 Q5

6 marks
Prelims

Kiki and Lala host a dinner for four other married couples. They sit at a rectangular table with Kiki and Lala at the left and right ends of the table respectively as shown in the diagram below.

Find the number of ways to seat the four couples such that

  1. there are no restrictions.[1]
  2. each married couple is seated directly facing each other on opposite sides.[2]
  3. each married couple is seated directly facing each other on opposite sides and two particular ladies cannot be seated next to each other on the same side.[3]

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Answer:(i) \(40\,320\) (ii) \(384\) (iii) \(288\)

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