Find all sets a, b, c which satisfy the following conditions:
a = {1, |b|, |c|}, b = {2, |a|, |c|}, c = {1, 2, |a|, |b|}
a) {a = {1, 3, 4}, b = {2, 3, 4}, c = {1, 2, 3, 4}}
b) {a = {1, 3, 4}, b = {2, 3, 4}, c = {1, 2}}
c) {a = {1, 2, 3}, b = {2, 3, 4}, c = {1, 2, 3, 4}}
d) {a = {1, 2, 3}, b = {2, 3, 4}, c = {1, 2}}