Question 626437
There are 89 students in senior year out of whom all but 3 study latin, spaniah or french. If 25 take latin, 32 spanish and 37 french and no student takes all three languages, how many students take more than one language?
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Draw the Venn Diagram of 3 intersecting circles.
Label the circles latin, span, and french.
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The universe has 89 elements.
3 elements are not in any of the circles, leaving 86 in the circles.
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latin has 25 elements
span has 32 elements
french has 37
The intersection of the 3 circles has 0 elements
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(25+32+37)-86 = 94-86 = 8 students take more than one language.
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Cheers,
Stan H.
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A)0
B)3
C)5
D)8
E)10