\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
There are four players: A, B, C, and D. A coach selects two players at random without replacement. The table below shows the possible selections for the two positions. An "X" means no outcome is possible.
\(\begin{aligned} & \textcolor{colorprop}{\text{Player 2}} \\ \textcolor{colordef}{\text{Player 1}} \end{aligned} \) \(\textcolor{colorprop}{A}\) \(\textcolor{colorprop}{B}\) \(\textcolor{colorprop}{C}\) \(\textcolor{colorprop}{D}\)
\(\textcolor{colordef}{A}\) X \(\textcolor{colordef}{A}\textcolor{colorprop}{B}\) \(\textcolor{colordef}{A}\textcolor{colorprop}{C}\) \(\textcolor{colordef}{A}\textcolor{colorprop}{D}\)
\(\textcolor{colordef}{B}\) \(\textcolor{colordef}{B}\textcolor{colorprop}{A}\) X \(\textcolor{colordef}{B}\textcolor{colorprop}{C}\) \(\textcolor{colordef}{B}\textcolor{colorprop}{D}\)
\(\textcolor{colordef}{C}\) \(\textcolor{colordef}{C}\textcolor{colorprop}{A}\) \(\textcolor{colordef}{C}\textcolor{colorprop}{B}\) X \(\textcolor{colordef}{C}\textcolor{colorprop}{D}\)
\(\textcolor{colordef}{D}\) \(\textcolor{colordef}{D}\textcolor{colorprop}{A}\) \(\textcolor{colordef}{D}\textcolor{colorprop}{B}\) \(\textcolor{colordef}{D}\textcolor{colorprop}{C}\) X
Count the number of possible outcomes.
possible outcomes.