Range of Possible Values

A question is this type if and only if it asks for the range or constraints on a variable (like the number in a set) given inclusion-exclusion constraints.

1 questions

Edexcel AS Paper 2 2023 June Q3
3. In an after-school club, students can choose to take part in Art, Music, both or neither. There are 45 students that attend the after-school club. Of these
  • 25 students take part in Art
  • 12 students take part in both Art and Music
  • the number of students that take part in Music is \(x\)
    1. Find the range of possible values of \(x\)
One of the 45 students is selected at random.
Event \(A\) is the event that the student selected takes part in Art.
Event \(M\) is the event that the student selected takes part in Music.
  • Determine whether or not it is possible for the events \(A\) and \(M\) to be independent.
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