Answer :
Answer:Let's define the following:
- \( E \) = number of students who failed in English.
- \( N \) = number of students who failed in Nepali.
- \( EN \) = number of students who failed in both English and Nepali.
- \( P \) = number of students who passed in both subjects.
From the problem, we have:
- Total number of students = 60
- 70% failed in English, so \( E = 0.7 \times 60 = 42 \)
- 60% failed in Nepali, so \( N = 0.6 \times 60 = 36 \)
- 50% failed in both subjects, so \( EN = 0.5 \times 60 = 30 \)
We can use the principle of inclusion and exclusion to find the number of students who failed in at least one subject:
\[
E + N - EN = 42 + 36 - 30 = 48
\]
So, the number of students who failed in at least one subject is 48.
Therefore, the number of students who passed in both subjects is:
\[
P = 60 - 48 = 12
\]
So, 12 students passed in both subjects.
Step-by-step explanation:
