2013 SRJC P2 Q6

2013 SRJC P2 Q6

9 marks

Mr Ahmad, Miss Banu and the families of Lim and Tan were invited to a wedding banquet. The Lim family consists of a man and both his parents while the Tan family consists of a woman and both her parents. The invited guests sit at a round table for eight. Find the number of ways of arranging the eight people if

  1. there are no restrictions; [1]
  2. the men and women are seated alternately; [2]
  3. Mr Ahmad and Miss Banu sit separately, and the members of the same family are seated together;[3]
  4. the members of the same family are seated together and the seats are numbered. [3]

Solution:

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Answer:(i) \(5040\) (ii) \(144\) (iii) \(72\) (iv) \(1728\).

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