2025 IGCSE Additional Mathematics May/June 0606/23 Q6

6 marks

Five of the digits 1 2 3 4 5 6 7 8 9 are used to make a 5-digit number.
Find how many ways this can be done when the 5-digit number is greater than 50 000.[2]
In a group of 13 people, 7 have red hair and 6 have brown hair.
1. The 13 people stand in line for a photograph.
  No person with red hair is standing next to another person with red hair.
  Find the number of different ways this can be done.[2]
2. Chris chooses 5 people from this group.
  Find the number of ways Chris can do this if at least 1 person chosen has brown hair.[2]

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Answer:(a) \(8400\) (b)(i) \(3628800\) (ii) \(1266\)

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