Consider the sets A = {a, b,c}, B = {dog, cat,mouse}, C = {True, False}. Answer the following questions. a) What is the set Ax C? b) How many elements are in A x B x Cx A? Justify your answer. c) Write one element of A x B x C x A. d) Is A x B = Bx A? Justify your answer. e) Is (True, True, Dog) an element of C x B x C? Justify your answer.