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In an under 16 athletics squad, 42 students participated in track events and 57 in field events. 19 students participated only in track events and 50 students did not participate in track events. Repr

Mathematics

ScanSolve AI Answer

Here's a step-by-step solution to the problem:

Let T be the set of students who participated in track events.
Let F be the set of students who participated in field events.
Let U be the universal set of all students in the under 16 squad.

Given information:

  • ∣T∣=42|T| = 42
  • Number of students in T who did not participate in F (∣T∖F∣|T \setminus F|) = 19
  • ∣F∣=57|F| = 57
  • Number of students who did not participate in T (∣T′∣|T'|) = 50

Part i: Represent the above information in a Venn diagram.

Step 1: Find the number of students who participated in

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