Question

1. Let A = {a,b,c}, B = {x,y}, and C = {0,1}. Find
2. a) A×B×C. 

Answer 1

Using the definition of the Cartesian product, we know that $A \times B \times C$ are ordered triplets of any combination of the elements in each set (in the same order as the sets in the Cartesian product).

$A \times B \times C = \\ = {(a,x,0), (a,x,1), (a,y,0), (a,y,1), (b,x,0), (b,x,1), (b,y,0), (b,y,1), (c,x,0), (c,x,1), (c,y,0), (c,y,1)}$