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mathematical methods for economics

in a class of 300 students,they were given mathematics test in three subjects namely,economics,statistics and mathematics,90 students failed in economics,100 failed in statistics,96 failed in mathematics,60 failed in economics and statistics,64 failed in statistics and mathematics,70 failed in economics and mathematics,while 50 failed in all subjects.find the number of students who failed in at least one subject

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sonu

  1. Did you try Venn diagrams?
    Start filling in from the intersection of all three circles. Put 50 in that intersection, then work your way outwards from there.

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    Reiny

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