In a class. 37 students take at least one of Chemistry, Economics and Government. 8 students take Chemistry, 19 take Economics and 25 take Government. 12 students take Economics and Government but nobody takes Chemistry and Economics. How many students take both Chemistry and Government?
A. 3 B. 4 C. 5 D. 5
Correct Answer: A
Explanation
The universal sel \(=37\) NB: The diagram is so because nobody takes chem econs. as such, nobody takes the three subjectscons only \(=19-12=7\) Gov. Only \(=25-12-x=13-x\)hem. only \(=8-x\) Thus \(8-x+x+13-x+12+7=37\) \(40-x=37\) \(x=3\)
