If $A, B$ and $C$ are any three sets, then $A \times (B \cup C)$ is equal to
$(A × B) \cup (A × C)$
$(A \cup B) × (A \cup C)$
$(A × B) \cap (A × C)$
None of these
(a) It is distributive law.
State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly.
If $A$ and $B$ are non-empty sets, then $A \times B$ is a non-empty set of ordered pairs $(x, y)$ such that $x \in A$ and $y \in B.$
If $A=\{-1,1\},$ find $A \times A \times A.$
If $P,Q$ and $R$ are subsets of a set $A$, then $R × (P^c \cup Q^c)^c =$
If $P=\{m, n\}$ and $Q=\{n, m\},$ then $P \times Q=\{(m, n),(n, m)\}.$
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
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