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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299

992

100

answer is B.

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Detailed Solution

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

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