10 teams. How many games?

A football league has 10 teams. Each team plays with every other team thrice - once on their home ground, once on the opponent teams ground and once on a neutral venue. How many matches will be contested in the league?


The answer is 135.

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2 solutions

Utkarsh Goel
Jul 2, 2014

Suppose a team plays once with every other team then TOTAL matches=10c2 i.e. 45............now here Each team plays with every other team thrice so answer becomes 45*3=135

Ryan Redz
Jul 13, 2014

3 round robins =3 x n(n-1)/2 = 3(10)(9)/2 = 135

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