Question

In a chess tournament each of the 6 players will play every other player only once. how many matches will be played during the tournament?

Answer 1

let the 6 players be named as 1,2,3,4,5&6
given,each player will play everyone once
therefore, the matches will be :-
(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)
(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)
=15 matches