In a class of 40 students, 20 students passed in Mathematics, 15 passed in English, and 5 passed in both. How many students passed in at least one of the two subjects?
Question and options
In a class of 40 students, 20 students passed in Mathematics, 15 passed in English, and 5 passed in both. How many students passed in at least one of the two subjects?
- 25
- 30
- 35
- 40
Answer and explanation
Correct answer: B - 30
By inclusion-exclusion, n(M or E) = n(M) + n(E) - n(both) = 20 + 15 - 5 = 30 students. Adding 20 and 15 to get 35 counts the 5 students who passed both subjects twice.
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CUSAT Three-Year LL.B.
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