2025 IGCSE Additional Mathematics May/June 0606/21 Q3

2025 IGCSE Additional Mathematics May/June 0606/21 Q3

5 marks

A sports club has the following members.

5 runners, 4 swimmers, 3 gymnasts

  1. These members stand in a straight line.
    Find the number of ways that this can be done when all the runners stand together, all the swimmers stand together and all the gymnasts stand together.[2]
  2. Four of these members are selected for an event.
    Find the number of ways that this can be done when at least one runner, at least one swimmer and at least one gymnast must be selected.[3]

Solution:

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Answer:(a) \(103680\) (b) \(270\)

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