in a class of 50 student ,a test for two subject was conducted .30 passed in the first subject and 40 passed in second subject.what is the maximum number of people who passed in both the subject

Dear Student,
Please find below the solution to the asked query:

$$\begin{gathered} \mathrm{Given} \\ \mathrm{Students} \mathrm{passing} \mathrm{in} \mathrm{first} \mathrm{subject}=30 \\ \mathrm{students} \mathrm{failing} \mathrm{in} \mathrm{first} \mathrm{subject}=50-30=20 \\ \mathrm{students} \mathrm{passing} \mathrm{in} \mathrm{second} \mathrm{subject}=40 \\ \mathrm{students} \mathrm{failing} \mathrm{in} \mathrm{second} \mathrm{subject}=50-40=10 \\ \mathrm{students} \mathrm{failing} \mathrm{in} \mathrm{either} \mathrm{of} \mathrm{subject} \mathrm{one} \mathrm{or} \mathrm{both}=20+10=30 \\ \mathrm{hence} \mathrm{maximum} \mathrm{students} \mathrm{passing} \mathrm{in} \mathrm{both} \mathrm{subjects}=50-30=20 \end{gathered}$$

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