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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 ?

Answers (1)

D Deependra Verma

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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