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