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If two sets A and B are having 99 elements in common, then the number of elements common to each of the sets A×B and B×A is 

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By Expert Faculty of Sri Chaitanya
a
299
b
992
c
100
d
18

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detailed solution

Correct option is B

n((A×B)∩(B×A))=n((A∩B)×(B∩A))=n(A∩B)⋅n(B∩A)=n(A∩B)⋅n(A∩B)=(99)(99)=992


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