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

If two sets $A$ and $B$ have $99$ elements in common, then the number of elements common to the sets $A \times B$ and $B \times  A$ is equal to

If $(1, 3), (2, 5)$ and $(3, 3)$ are three elements of $A × B$ and the total number of elements in $A \times B$ is $6$, then the remaining elements of $A \times B$ are

Let $A, B, C$ are three sets such that $n(A \cap  B) = n(B \cap  C) = n(C \cap  A) = n(A \cap  B \cap  C) = 2$, then $n((A × B) \cap  (B × C)) $ is equal to -

If $A, B$ and $C$ are any three sets, then $A \times (B  \cup C)$ is equal to

State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly.

If $A=\{1,2\}, B=\{3,4\},$ then $A \times\{B \cap \varnothing\}=\varnothing$