\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
There are three students: X, Y, and Z. A teacher selects one student each day, on Monday and Tuesday, to recite a poem. The selection is made without replacement, meaning the same student cannot be chosen both days. The table below shows the possible selections for the two days.
\(\begin{aligned} & \textcolor{colorprop}{\text{Tuesday}} \\ \textcolor{colordef}{\text{Monday}} \end{aligned} \) \(\textcolor{colorprop}{X}\) \(\textcolor{colorprop}{Y}\) \(\textcolor{colorprop}{Z}\)
\(\textcolor{colordef}{X}\) X \(\textcolor{colordef}{X}\textcolor{colorprop}{Y}\) \(\textcolor{colordef}{X}\textcolor{colorprop}{Z}\)
\(\textcolor{colordef}{Y}\) \(\textcolor{colordef}{Y}\textcolor{colorprop}{X}\) X \(\textcolor{colordef}{Y}\textcolor{colorprop}{Z}\)
\(\textcolor{colordef}{Z}\) \(\textcolor{colordef}{Z}\textcolor{colorprop}{X}\) \(\textcolor{colordef}{Z}\textcolor{colorprop}{Y}\) X
Count the number of possible outcomes.
possible outcomes.