In a class of 100 students, 50 students passed in Mathematics and 70 passed in English, 5 students failed in both Mathematics and English. How many students passed in both the subjects?
Question
In a class of 100 students, 50 students passed in Mathematics and 70 passed in English, 5 students failed in both Mathematics and English. How many students passed in both the subjects?
Solution
To solve this problem, we need to use the principle of inclusion and exclusion. Here are the steps:
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First, add the number of students who passed in Mathematics and English. This gives us 50 (Mathematics) + 70 (English) = 120.
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However, by doing this, we have counted the students who passed in both subjects twice. To correct this, we need to subtract the number of students who passed in both subjects.
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The problem doesn't directly tell us the number of students who passed in both subjects. But we
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