1.

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»

Given n(X∪Y) = 18, n(X) = 8, n(Y) = 15

But n(X∪Y) = n(X) + n(Y) – n(X ∩Y) n(X∩Y)

= 8 + 15-18 = 5.



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