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- #1

I am struggling with this relatively simple task.

In a university with 88 students, each student can choose to participate in 3 afternoon activities: activity A, activity B and activity C. Each student can choose to participate in some activities, all or none.

33 students participate in activity A

28 students participate in activity B

33 students participate in activity C

14 students participate in activity A and B

18 students participate in activity A and C

10 students participate in activity B and C

6 students participate in activity A, B and C

1. How many students decided not to participate in any activity ?

2. How many students participate ONLY in activity A ?

3. How many students participate in activity A OR B, but NOT in C ?

I think I did "1" OK, I got that the answer is 30 (am I correct ?).

I solved it using union and intersection, and using the rule of union of 3 sets.

I find it hard to solve "2" and "3".