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

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

$n [(A x B) \cap (B x A)] = n [(A \cap B) x (B \cap A)] = n (A \cap B) x n (B \cap A) = 99 x 99 = 99^{2}$

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