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1. In a class of 50 students, 10 did not opt for math, 15 did not opt for science and 2 did not opt for either. How many students of the class opted for both math and science?
- A. 37
- B. 37
- C. 37
- D. 37
Answer: Option B
Explanation:
Students opted for Math or Science, n(M U S) = 50 - 2 = 48
Students opted for Math, n(M) = 50 - 15 = 35
Students opted for Science, n(S) = 50 - 10 = 40
Students opted for both Math and Science n(M ∩ S) = n(M) + n(S) - n(A U B) = 35 + 40 - 48 = 27
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