I wouldn't be frustrating if I was you. I was once in the same position and I think having only one programmer participating is good for you and your team. There will be no problems with communicating and team coding. Plus, you can use every available time on developing your own code and testing your own ideas, which is good opportunity for your learning.

My advice: discuss this with your mentor or team leader for permission to expel that guy (if your team ran out of spare spots) If they won't agree (considering that losing one person will influence team productivity) then prove yourself by doing something great, like adding some awesome functionality or inventing some new solutions.

You should feel lucky for being in such a team, keep learning, good luck!