Question #203150
  1. Let A = {a,b,c}, B = {x,y}, and C = {0,1}. Find
  2. a) A×B×C. 
1
Expert's answer
2021-06-07T03:42:18-0400

Using the definition of the Cartesian product, we know that A×B×CA \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×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)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)}


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