Logical Deduction Steps

1. 
   First, we use the most direct clue: "Team R is in B". This gives us our first certain match: Town B = Team R.
   


2. 
   Next, the clue "Q has beaten the teams in E, C, and A" means Q's own town cannot be E, C, or A. Since we already know B is taken by R, the only town left for Q is D. So, Town D = Team Q.
   


3. 
   Now, the clue "The team in A has beaten R, P, and S" means the team in A cannot be R, P, or S. We also know it's not Q (which is in D). By elimination from the original list (P, Q, R, S, T), the only team left for town A is T. So, Town A = Team T.
   


4. 
   Finally, the remaining towns are C and E, and the remaining teams are P and S. The clue "The team in C is not S" eliminates one possibility. Therefore, Town C must be Team P, which leaves Town E as Team S.
   

Final Arrangement

Town A = Team T
Town B = Team R
Town C = Team P
Town D = Team Q
Town E = Team S

The team P is in Town C.