Three sets, \(\mathbb A\), \(\mathbb B\) and \(\mathbb C\), have 3, 12, and 13 elements respectively. The set \(\mathbb D\) is defined as:

\[\mathbb D = \{(x,y,z) \mid x \in\mathbb A, y \in\mathbb B, z \in\mathbb C\}\]

How many elements does \(\mathbb D\) have?

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