1.

If S and T are two sets such that S has 21 elements, T has 32 elements and S ∩ T has 11 elements. How many elements does S ∪ T have?

Answer»

         n(S ∪ T) = n(S) + n(T) – n(S ∩ T) 

or         n(S) = 21 n(T) = 32 n(S ∩ T) = 11

Getting  n(S ∪ T) = 21 + 32 – 11 = 42



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