CLAT 2015 Question Paper with answer key for online practice

In a tournament, there are n teams ${\mathit{T}}_1,{\mathit{T}}_2,........{\mathit{T}}_{\mathit{n}}$ with $\mathit{n}>5$. Each team consists of $\mathit{k}$ players,$\mathit{k}>3$. The following pairs of teams have one player in common ${\mathit{T}}_1$ and ${\mathit{T}}_2,{\mathit{T}}_2$ and ${\mathit{T}}_3,.....$, ${\mathit{T}}_{\mathit{n}-1}$ and ${\mathit{T}}_{\mathit{n}}$ and ${\mathit{T}}_1$ No other pair of teams has any player in common. How many players are participating in the tournament, considering all the n teams together?