How many students participated in exactly one subject if 50 participated in Mathematics, 45 in Science, and 55 in Literature?

To determine how many students participated in exactly one subject, we can start by analyzing the total number of participants in each subject: 50 in Mathematics, 45 in Science, and 55 in Literature.

Let's denote:

• M as the number of students participating in Mathematics: M = 50

• S as the number of students participating in Science: S = 45

• L as the number of students participating in Literature: L = 55

If we assume there is some overlap (students participating in more than one subject), we can use the principle of inclusion-exclusion. The calculation for those participating in at least one subject includes overlaps. However, since we need those participating in exactly one subject, we focus on the total without overlaps:

The total counts for Mathematics, Science, and Literature combine to a total of 150 students (50 + 45 + 55).

Considering the potential overlaps, if we denote the number of students participating in exactly one subject as X, the result must logically follow that students could also be participating in one subject only or more than one.

In some instances, to get the total figuring in the exact overlap could arrive differently; hence, assuming equal additional participants for combinations could lead to solving