Exam-Style Problem

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June 2022 p53 q7
2810

A group of 15 friends visit an adventure park. The group consists of four families.

  • Mr and Mrs Kenny and their four children
  • Mr and Mrs Lizo and their three children
  • Mrs Martin and her child
  • Mr and Mrs Nantes

The group enter the park by walking through a gate one at a time.

In how many different orders can the 15 friends go through the gate if Mr Lizo goes first and each family stays together?

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