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 required answer is $70$

Step-by-step explanation:

Given: $50$ students passed in English $60$ students passed in Mathematics. $40$ students passed in both the subjects.

To find: the number of students who passed at least in one of the subjects.

Let B represent the group of students who passed mathematics and A represent the group of students who passed English.

We have,

$n(A)=50, n(B)=60,$n(A∩B)$=40$

We know that, n(A∪B)=$n(A)+n(B)-$n(A∩B)

So, n(A∪B)$=50+60-40$

$=70$

Thus, there are $70$ pupils who at least passed one of the students.

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