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Complement of a Set

If nA = 52, n...

Question

If $n (A) = 52$ , $n (A \cup B) = 80$ , $n (A \cap B) = 31,$ then $n (A \cap B^{'}) =$

A

11

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B

21

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C

31

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D

42

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Solution

The correct option is B $21$
$n (A \cap B^{'}) = n (A) - n (A \cap B)$
$= 52 - 31 = 21$

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n (A) = 52

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