Question

In a competitive exam 50 students passed in English. 60 students passed in Mathematics. 40 students passed in both the subjects. None of them fail in both the subjects. Find the number of students who passed at least in one of the subjects ?

Answer 1

Answer:

The number of students who passed at least in one of the subjects = 70.

Step-by-step explanation:

As per the given data of the question,

Number of students passed in English, n(E)= 50

Number of students passed in mathematics, n(M) = 60

Number of students passed in both the subjects, n(E U M) = 40

As it is given that none of the students fail in both the subjects,

Therefore, the number of students who passed at least in one of the subjects is given by:

n(E) + n(M) - n(E U M)

∴ n(E) + n(M) - n(E U M) = 50 + 60 - 40 = 70

Hence the number of students who passed at least in one of the subjects = 70.