In a tournament, there are n team T1, T2, Tn with n > 5. Each team consists of k players, k>3. The following pairs of teams have players in common T1, and T2, T2 and T3, ____ Tn-1 and Tn and T1. No other pair of team has any player in common. How many players are participating in the tournament, considering all the n teams together?