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Properties of Set Operation

If nU=60, nA=...

Question

If $n (U) = 60, n (A) = 21, n (B) = 43,$ then minimum and maximum value of $n (A \cup B)$ is

43, 60

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50, 64

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44, 60

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38, 60

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Solution

The correct option is A $43, 60$
$n (A) + n (B) = 64$
Min. possible if $A \subset B$ i.e., $43$
Max. possible if $n (A \cup B) = n (U) = 60$

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