3 Sets

Probability Level 2

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

D={(x,y,z)xA,yB,zC}\mathbb D = \{(x,y,z) \mid x \in\mathbb A, y \in\mathbb B, z \in\mathbb C\}

How many elements does D\mathbb D have?

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