The lexicographic order on the set $\{(1,2),(2,1),(1,1),(2,2)\}$ is:

Question $6$ options:

a$)$

$\{(1,2),(2,1),(1,1),(2,2)\}$

b$)$

$\{(1,1),(1,2),(2,1),(2,2)\}$

c$)$

$\{(1,1),(2,2),(1,2),(2,1)\}$

d$)$

$\{(1,2),(1,1),(2,1),(2,2)\}$