Minimum Tournament Required During a contest, I came up with a question: 

What are the minimum number of tournaments needed to get the winner? A
  player is out when he loses two matches. Total players are 51. (
  Assume  Badminton )

I'm not sure how to solve it. Unfortunately, It is confusing me with combinations and permutations.
Any suggestions? Thanks!

51 players, 1 winner:  50 needed to go out.
50 players out, 2 losses each, need: 100 losses.
100 losses means 100 games.
So, minimum is: 100 games.
