In a school, 32 students study Maths, 28 study Physics, and 26 study Chemistry. If there are in total 40 students in the school and all of them study at least one of these subjects, what is the maximum number of students that could have studied all the three subjects?

Correct option is C

Given,
- Total number of students = 40.
- Students studying Maths = 32.
- Students studying Physics = 28.
- Students studying Chemistry = 26.
To maximize the number of students studying all three subjects, we need to minimize the number of students studying exactly one or two subjects. This is done by maximizing the overlap among the three groups.
Let n be the number of students who study all three subjects. Using the principle of inclusion-exclusion: