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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 are

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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

nA×B∩B×A=nA∩B×B∩A=nA∩B.nB∩A=nA∩B.A∩B=9999=992.


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Set A and B have 3 and 6 elements respectively. What can be the minimum number of elements in AB

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