State whether the following statement is true or false. If the statement is false,rewrite the given statement correctly.
If $P = \{m, n\}$ and $Q = \{n, m\}$,then $P \times Q = \{(m, n), (n, m)\}$.
If $P = \{m, n\}$ and $Q = \{n, m\}$,then $P \times Q = \{(m, n), (n, m)\}$.
(N/A) False.
The Cartesian product $P \times Q$ is defined as the set of all ordered pairs $(p, q)$ such that $p \in P$ and $q \in Q$.
Given $P = \{m, n\}$ and $Q = \{n, m\}$,the Cartesian product is:
$P \times Q = \{(m, n), (m, m), (n, n), (n, m)\}$.
The Cartesian product $P \times Q$ is defined as the set of all ordered pairs $(p, q)$ such that $p \in P$ and $q \in Q$.
Given $P = \{m, n\}$ and $Q = \{n, m\}$,the Cartesian product is:
$P \times Q = \{(m, n), (m, m), (n, n), (n, m)\}$.
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