1.

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

Answer»

n(x ∪ y) = n(x) + (n ∪ y) – n(x ∩ y)

50 = 28 + 32 (x ∩ y) ⇒ [∴ n(X ∩ Y) = 10]



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