In a class of 60 students, 55 offer mathematics, 48 offer chemistry, and 32 offer physics. 5 students offer all three subjects, 15 offer physics and chemistry only, and 20 offer chemistry only. each student offer at least one of the subject.

i. illustrate the information on a venn diagram. find the number of students who
ii. offer chemistry only
iii. only one subject
iv. exactly two subject

so, what does your Venn diagram tell you?

There is only one number missing.