2. In a class of 48 students, 24 of them do Art, 22 do chemistry and 20 do biology. All the students do at least one of the three subjects. 3 do all three subjects while 4 do Art and Biology only, 3 do Arts and chemistry only and 5 do chemistry and Biology only.

Question

2.	In a class of 48 students, 24 of them do Art, 22 do chemistry and 20 do biology. All the students do at least one of the three subjects. 3 do all three subjects while 4 do Art and Biology only, 3 do Arts and chemistry only and 5 do chemistry and Biology only.
a.	Find the number of numbers of students that do
i.	Two subjects only
ii.	Exactly one subject
iii.	At least two of the subjects
b.	Represent the information on a complete Venn diagram

oobleck · Answer

If you do your Venn diagram, it should be easy to see that you have Art only: 24-(3+3+4) = 14 Biology only: 20-(4+3+5) = 8 Chem only: 22-(3+3+5) = 11 Now you can answer the questions.