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## 100 Golfers

Math brain teasers require computations to solve.

 Puzzle ID: #958 Fun: (2.31) Difficulty: (1.48) Category: Math Submitted By: Michelle Corrected By: thompson1

There are 100 golfers in the local match play contest. Each match has only 2 players. If a player loses a match, he is immediately eliminated from the contest. How many matches will be played to determine the winner?

If there is to be only one winner, then there are 99 losers, therefore there were 99 matches. You can also do this with math: in round 1 there would be 50 matches to produce 50 winners, round 2 would have 25 matches to produce 25 winners, round 3 would have 12 matches to produce 12 winners ( one person of the 25 winners would have to wait until later to play again ), round 4 would have 6 matches to produce 6 winners, round 5 would have 3 matches to produce 3 winners, round 6 would have 2 matches ( the player left out before would now play to make it an even field ) to produce 2 winners, these 2 would play for the championship. So: 50+25+12+6+3+2+1=99
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 boodler Jan 20, 2006 In any knock-out competition, there is one less game than the number of players i.e. 83 players, 82 games; 91 players, 90 games. Simple.