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Question

If two sets A and B are such that n(A)=20, n(AB)=4, and n(AB)=42, then

A
n(B)=22
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B
n(BA)=22
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C
n(B)=26
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D
n(AB)=16
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Solution

The correct option is D n(AB)=16
n(A)=20,n(AB)=4,n(AB)=42
n(AB)=n(A)+n(B)n(AB)
42=20+n(B)4
n(B)=26

n(BA)=n(B)n(AB)=22
n(AB)=n(A)n(AB)=16

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