InterviewSolution
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InterviewSolution
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If A and B be two sets containing 6 and 3 elements respectively, what can be the minimum number of elements in `AuuB` ? Also, find the maximum number of elements in `AuuB`. |
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Answer» We have, `n(AuuB)=n(A)+n(B)-n(AnnB),n(AuuB)` is minimum or maximum according as `n(AnnB)` is maximum or minimum, respectively. Case I If `n(AnnB)` is minimum i.e., `n(AnnB)` = 0 such that A = {a, b, c, d, e, f} and B = {g, h, i} `therefore n(AuuB)=n(A)+n(B)=6+3=9` Case II If `n(AnnB)` is maximum i.e., `n(AnnB) = 3`, such that A = {a, b, c, d, e, f} and B = {d, a, c} `therefore n(AuuB)=n(A)+n(B)-n(AnnB)=6+3-3=6` |
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