The 36 students in 8 Enriched were assigned three challenging problems, A, B and C. A poll of the classes, one week late

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The 36 students in 8 Enriched were assigned three challenging
problems, A, B and C. A poll of the classes, one week later, showed
that each student had solved at least one of the problems. It also
showed this additional information.
10 students had solved all three points
12 students had solved A and B
17 students had solved B and C
21 students had solved A and C
24 students had solved A
22 students had solved B
30 students had solved C
What is the probability a student solved problem C only?
What is the probability a student solved problem A only?
What is the probability a student solved exactly one
problem?
What is the probability a student solved exactly two
problems?