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?
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Correct Answer: Option 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 \(8-x+x+13-x+12+7=37\)
\(40-x=37\)
\(x=3\)
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 \(8-x+x+13-x+12+7=37\)
\(40-x=37\)
\(x=3\)