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If X and Y are two sets such that X has 40 elements, X∪Y has 60 elements and X∩Y has 10 elements, how many elements does Y have? |
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Answer» Given n(X) = 40; n(X∪Y) = 60; n(X∩Y) = 10 n(Y) = n(X∪Y) + n(X∩Y)-n(X) = 60 + 10 – 40 = 30 |
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