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2019 EJC P2 Q9

2019 EJC P2 Q9

10 marks
Prelims
  1. Find the number of ways of arranging the letters of the word JEWELLERY, if:
    1. there are no restrictions.[1]
    2. the arrangement starts with ‘L’, and between any two ‘E’s there must be at least 2 other letters.[3]
      A 4-letter ‘codeword’ is formed by taking an arrangement of 4 letters from the word JEWELLERY.
    3. Find the number of 4-letter codewords that can be formed.[3]
  2. Mr and Mrs Lee, their three children, and 5 others are seated at a round table during a wedding dinner. Find the number of ways that everyone can be seated, such that Mr and Mrs Lee are seated together, but their children are not all seated together.[3]

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Answer:(a)(i) \(30240\); (a)(ii) \(480\); (a)(iii) \(626\); (b) \(72000\)

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