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QUESTION
Let S and T be subsets of the universal set U. Draw an appropriate Venn diagram and use the given data to determine the number of elements in each...
Let S and T be subsets of the universal set U. Draw an appropriate Venn diagram and use the given data to determine the number of elements in each basic region.n(S) = 9, n(S ∪ T) = 28, n(T) = 22, n(S ' ∪ T ') = 30.
n( S ∩ T ) = n( S ) + n(T ) − n( S ∪ T )⇒ n( S ∩ T ) = 9 + 22 − 28 = 3