Consider D ={red, blue, green} and F = {ball, car} find DXF

To find the Cartesian product D × F, we need to combine each element in D with each element in F.

D = {red, blue, green}
F = {ball, car}

To find DXF, we take each element from D and pair it with each element from F:

(red, ball), (red, car)
(blue, ball), (blue, car)
(green, ball), (green, car)

Therefore, DXF = {(red, ball), (red, car), (blue, ball), (blue, car), (green, ball), (green, car)}.