Let A = {0, 1} times {0, 1}} and B = {a, b, c}. Suppose A is listed in lexicographic order based on 0 < 1 and B is in alphabetic order. If the set A times B times A is listed in lexicographic order, then the next element after ((1, 0), c, (1, 1)) is
((1, 0), a, (0, 0))
((1, 1), c, (0, 0))
((1, 1), a, (0, 0))
((1, 1), a, (1, 1))
((1, 1), b, (1, 1))