Oe, Keitaro, and Luis play tennis. To decide who will play against each other in the first match, they put their names in a hat and choose two names without looking. What subset of the sample space, A, represents the complement of the event in which Joe plays in the first match?

A = {KL}
A = {KJ, KL}
A = {KL, LK}
A = {KJ, KL, LJ}