Using the definition of the Cartesian product, we know that A×B×C are ordered triplets of any combination of the elements in each set (in the same order as the sets in the Cartesian product).
A×B×C==(a,x,0),(a,x,1),(a,y,0),(a,y,1),(b,x,0),(b,x,1),(b,y,0),(b,y,1),(c,x,0),(c,x,1),(c,y,0),(c,y,1)
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