The World Cup

Probability Level 2

The World Cup occurs every 4 years and the elimination rounds usually involve 16 teams in knockout matches. So, in order for a champion is determined, how many matches must there be?


The answer is 15.

Lew Sterling Jr by Lew Sterling Jr , 24, USA

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2 solutions

Sid Rajadnya
May 6, 2015

G = N-1 so 16-1=15

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Lew Sterling Jr
Oct 23, 2014

If you do a tree graph to solve this, there would be 8+4+2+1= 15 games.

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actually, there is a formula in getting the #

of games in a single elimination tournament 

      G = N-1(this is true to all possible # of teams)

G=16-1=15

where N is the # of teams ( :i learned this from our

PE class when i'm still fourth year: )

for powers of two only:(meaning there are no byes)

there will be 4 rounds:

1st- 8 games and 8 teams are eliminated

2nd-4 games and 4 are eliminated

3rd-2 games and 2 are eliminated

4th-1 game and 1 must be eliminated to come up with a winner

G=8+4+2+1=15

Montesa Joy Rebao - 6 years, 7 months ago

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That works to. xD

Lew Sterling Jr - 6 years, 7 months ago

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