2024 TJC H1 Q7

2024 TJC H1 Q7

8 marks

How many different arrangements, each consisting of \(5\) different digits, can be formed from the \(7\) digits \(1\), \(2\), \(3\), \(4\), \(5\), \(6\), \(7\), if

  1. each arrangement begins and ends with an even digit?[2]
  2. in each arrangement, odd and even digits alternate?[3]
  3. in each arrangement, there are more even digits than odd digits and the even digits are adjacent?[2]
  4. in each arrangement, the digits are in ascending order?[1]

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Answer:(a) \(360\) (b) \(216\) (c) \(216\) (d) \(21\)

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