1.

In X and Y are two sets such that X∪Y has 50 elements, X has 28 elements and Y has 32 elements, how many elements does X∩Y have?

Answer»

Given n(X∪Y) = 50; n(X) = 28; n(Y) = 32

But n(X∪Y) = n(x) + n(y)-n(X∩Y)

∴ n(X∩Y) = 28 + 32-50 = 10



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