In an under 16 squad, 42 students participated in track events and 57 in field events. If 19 students participated only in track events, and 50 students did not participate in track events, how many s

Here's the complete 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:

• $|T| = 42$ (Total students in track events)
• Number of students in $T$ who did not participate in $F$ ($|T \setminus F|$) = 19 (Students in track only)
• $|F| = 57$ (Total students in field events)
• Number of students who did not participate in $T$ ($|T'|$) = 50