200 golfers in a match play contest. if a player loses a match he is eliminated.how many matches will be playe

Question

200 golfers in a match play contest. if a player loses a match he is eliminated.how many matches will be playe

Answer 1

Ok:

You start with 200, this means their are 100 matches played.

You then have 100 left, this means their are 50 matches played. (100+50 so far)

You then have 50 left, this means their are 25 matches played. (100+50+25 so far)

You CAN'T split 25 people so you have 12 matches and issue one player with a bye, this means their are 12 matches played. (100 + 50 + 25 + 12 + 1 x Bye so far)

You then have 13 people left (winners of the 12 matches and the 1 x bye) so you have 6 matches and issue another bye, this means their are 6 matches played (100 + 50 + 25 + 12 + 6 + 2 x bye's)

You then have 7 people left (Winners of the 6 matches and the 1 x bye) so you have 3 matches and issue another bye, this means their are 3 matches played (100 + 50 + 25 + 12 + 6 + 3 + 3 x bye's)

You then have 4 people left (winners of the 3 matches and the 1 x bye) this means their are 2 matches played (100 + 50 + 25 + 12 + 6 + 3 + 2 + 3 x bye's)

You then have 2 people left, this means their is 1 match played (100 + 50 + 25 + 12 + 6 + 3 + 2 + 1 + 3 x bye's)

Total = 199 Matches and 3 x byes.

Answer 2

The bye's would most likely be issued at the beginning of the tourney.  199 is a solid answer.

Answer 3

185 matches with one bye.

Answer 4

197