competitive exam 50 Students passed in English. 60 students passed in Mathematics. 40 students passed in both subjects. None of them fail in both the subjects. Find the total number of students? *
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Step-by-step explanation:
Let A be the set of students who passed in English, and B be the set of students who passed in Mathematics.
We have,
n(A) = 50, n(B) = 60, n(A ∩ B) = 40
Since,
n(A ∪ B) = n(A) n(B) - n(A ∩ B) = 50 + 60 - 40
n(A ∪ B) = 70
So, the number of students who passed at least in one of the subjects is 70.
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