Among 200 students in the ECE department, 100 students like hiking ($H$), 80 students like surfing ($S$), and 70 students like camping ($C$). In addition, 50 students like both hiking and surfing, 40 students like both surfing and camping, 30 students like both hiking and camping, and 20 students like all three activities.
Using $H$, $S$, $C$, and set algebras (complement, intersection, union), represent the following sets and calculate the number of students in each set.
Set of students who like at least one of these three activities.
Set of students who like only one of these activities.
Set of students who like exactly two of these activities.
Please send your solution to me via email. Good luck!