Question

10 Express each of the following sets as a Cartesian product of sets:

(a) The set of all possible 3-course meals (entrée, main course

and dessert) at a restaurant.

(b) The set of car registration plates consisting of three letters

followed by three digits.

(c) The set of all possible outcomes of an experiment in which a

coin is tossed three times.

Answer 1

a) S = {entrée, main course, dessert}

b) S = {ABC123, ABC134, ABC145, ......., XYZ789}

c) S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}