In a class of 50 students, 40 students offered Physics and 30 offered Biology. How
MATHEMATICS
JAMB 2019
In a class of 50 students, 40 students offered Physics and 30 offered Biology. How many offered both Physics and Biology?
- A. 42
- B. 20
- C. 70
- D. 54
Correct Answer: B. 20
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Explanation
n(Total) = 50
n(Physics) = 40
n(Biology) = 30
Let n(Physics and Biology) = x
n(Physics only) = 40 -x
n(Biology only) = 30 - x
40 - x + 30 - x + x = 50
70 - x = 50 x = 20