I have been struggling with this question for over a day. I think I am on the correct track, but I am not certain.
My approach was to use stars and bars for the representation of the team. I places the first bar so that the total to the left was exactly 2 and counted the spaces that the second bar could go while leaving the right most segment with at least 2 players.
The total ended up being 5, so I have P(5,1) places for the bar to go. I repeated this process moving the initial bar one space to the right each time and summed the results, which I found to be P(5,1)+P(4,1)+P(3,1)+P(2,1)=5+4+3+2=14.
Am I correct or have I made a mistake? Thank you for your help. This is my first semester of combinatorics and the first time I have done math like this.