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25 Jul 2010, 12:37
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
78% (01:55) correct
22%
(02:19)
wrong
based on 288
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At a certain school, each of the 150 students takes between 1 and 3 classes. The 3 classes available are Math, Chemistry and English. 53 students study math, 88 study chemistry and 58 study English. If 6 students take all 3 classes, how many take exactly 2 classes?
A. 37
B. 43
C. 45
D. 60
A. 37
B. 43
C. 45
D. 60
25 Jul 2010, 12:57
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amlan009
Total = {Math} + {Chemistry} + {English} - {# of students who take exactly 2 classes} - 2*{# of students who take exactly 3 classes} + {# of students who take none of 3 classes}
\(150=53+88+58-x-2*6+0\) --> \(x=37\).
Answer: A.
For more check: formulae-for-3-overlapping-sets-69014.html (there is my post in the end of the first page about the formulas of 3 overlapping sets with theory, diagrams and examples).
Hope it helps.
29 Jul 2010, 07:12
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See this one too: how-to-draw-a-venn-diagram-for-problems-98036.html
