Question 6
A tennis club has six players numbered $1$ to $6$. Two of them are to be chosen to represent the club in a tournament. Five assistant coaches make the following recommendations: “#$4$ and #$5$”, “#$3$ and #$6$”, “#$5$ and #$6$”, “#$2$ and #$5$” and “#$1$ and #$3$”. The head coach ignores both players recommended by one of the assistant coaches, and chooses exactly one player from the recommendation of each of the other four. Which are the two chosen players?