Caselet

In a class of 50 students, 30 study Mathematics, 25 study Science, and 10 study both subjects. The remaining students study neither.

Question

How many students study only Mathematics, and how many study neither subject?

Table built from the caselet

Solution

1. Only Mathematics = 30 - 10 = 20.
2. Only Science = 25 - 10 = 15.
3. Students in at least one subject = 20 + 15 + 10 = 45.
4. Neither = 50 - 45 = 5.
5. 20 students study only Mathematics and 5 study neither.