A teacher randomly chooses a two$-$person team from a group of four students. The first person chosen will be the presenter and the second person will be the researcher. Two of the students, Amir and Aaron, are boys. The other two students, Caitlin and Deniz, are girls. All the possible outcomes of the team selection are listed below.

If we take outcomes $1,4,9,$ and $12$ as a subset of the sample space, which of the statements below describe this subset?