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  • The set A has 3 elements and B has 6 elements . What can be the minimum number of elements of A union B ?

The set A has 3 elements and B has 6 elements . What can be the minimum number of elements of A union B ?

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Solution:    There are two possibilities that either  Asubset B

                   If Asubset B then Acup B=B    herefore n(Acup B)=n(B)=6

                   If A and B are disjoint  i.e  Acap B=phi then

                 n(Acup B)=n(A)+n(B)-n(Acap B)=3+6-0=9.

              Hence , minimum number of elements will be

               when  Asubset B and in that case the number of elements is 6.

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Deependra Verma

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