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CAT-2007-Previous Years Paper
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: T1and T2, T2and T3, ..., Tn–1and Tn and Tn and 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?
|A||n (k – 2)|
|B||k (n – 2)|
|C||(n – 1) (k – 1)|
|D||n (k –1)|
|E||k (n –1)|
Total number of teams = n and
Number of players in each team = k
Number of players common to two teams = number of teams = n
Hence, total number of players participating in the tournament
= nk – n = n (k – 1)