Answer: 40 students
Step-by-step explanation:
We can use the inclusion-exclusion principle and formula to find the number of total students who passed. This formula says P(A ∪ B) = |P(A)| + |P(B)| – |P(A ∩ B)|. In this case, let A = E = English and B = M = Mathematics.
P(E ∪ M) = |P(E)| + |P(M)| – |P(E ∩ M)|
P(E ∪ M) = |52| + |72| – |34|
P(E ∪ M) = 90 students
This gives the number of students who failed. Now, using subtraction, we can find the number of students who passed both English and mathematics.
130 total students - 90 students that failed = 40 students
