There are 8 parents and 43 students going on a school trip. Two groups are made, a large one with thirty students and five parents, and a small group…

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There are 8 parents and 43 students going on a school trip. Two groups are made, a large one with thirty students and five parents, and a small group with 13 students and three parents.

  1. How many different ways can be the parents be chosen for the small group?
  2. How many ways can the students be chosen for the large group if Stefan and Dylan must be in the small group?
  3. How many ways can the groups be arranged if Reena and both her parents must be in the small group?

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