Question

In an examination out of 100 students, 75 passed in English, 60 passed in Mathematics and 45 passed in both English and Mathematics. What'is the number of students passed in exactly one of the two subject.?

Answer 1

Answer:

The answer is 90

Step-by-step explanation:

Total number of students, N = 100.

Number of students who passed in English, n (E) = 75.

Number of students who passed in Mathematics, n (M) = 60.

Number of students who passed in both, n (E ∩ M) = 45.

Compute the number of students passed in exactly one of the two subjects as follows:

n (E ∪ M) = n (E) + n (M) - n (E ∩ M)

              = 75 + 60 - 45

              = 90

Thus, the number of students passed in exactly one of the two subjects is 90.