Answer
A={1, 101}, B = {0,11,000};
A = {10,111,1010,1000,10111,101000}, B = {λ};
A = {λ, 10}, B = {10, 111, 1000}
or
A = {λ}, B = {10, 111, 1010, 1000, 10111, 101000}
Work Step by Step
All pairs of sets of strings A and B for which
AB== {10, 111, 1010, 1000, 10111, 101000}. will be
A={1, 101}, B = {0,11,000};
A = {10,111,1010,1000,10111,101000}, B = {λ};
A = {λ, 10}, B = {10, 111, 1000}
or
A = {λ}, B = {10, 111, 1010, 1000, 10111, 101000}