CAT 2007 | Question: 11

Question

In a tournament, there are $n$ teams $T_1, T_2 ......., T$ with $n > 5$. Each team consists of $k$ players, $k>3$. The following pairs of teams have one player in common:

$T_1 \text{ and } T_2 , T_2 \text{ and } T_3, ...... , T_{n-1} \text{ and } T_n, \text{ and } T_n \text{ and } 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?

• A. $n(k-1)$
• B. $k(n-1)$
• C. $n(k-2)$
• D. $k(k-2)$
• E. $(n-1) (k-1)$

Answer 1

nk -n =n(k-1)