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If X and Y are two sets such that X ∪Y has 18 elements, X has 8 elements and Y has 15 elements; how many elements does X ∩Y have? |
Answer» It is given that: n(X ∪Y) = 18, n(X)=8, n(Y) = 15 n(X ïf ? Y) = ? We know that: n(X ∪Y)=n(X)+n(Y)-n(X∩Y) 18=8+15-n(X∩Y) n(X∩Y)=5 |
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