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The Australian Open, which is underway right now, is a Grand Slam annual Tennis tournament. If the first round begins with 128 matches for both men and women, how many matches are played, in both men and women separately, in order to crown the Champion? Thanks for help.

Guest Jan 16, 2018

Best Answer 

 #2
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Sorry CPhill, I get a slightly different answer as follows:

 

It is true that there are 128 matches, but that icludes both men and women.

There are seven rounds in every Slam tournament, including the Australian Open:

First Round, with 128 players (sixty-four matches)

Second Round, with 64 players (thirty-two matches)

Third Round, with 32 players (sixteen matches)

Fourth Round, with 16 players (eight matches)

Quarterfinals, with 8 players (four matches)

Semifinals, with 4 players (two matches)

Final, with the last two players playing for the title

If you add the above number of "matches" NOT "players" you get:

128 - 1 = 127 matches to crown men's champion, and:

128 - 1 = 127 matches to crown women's champion.

In general, if the number of matches is n, then the number of matches to crown the winner

is: n - 1, or 2^R - 1. R for rounds.

Guest Jan 16, 2018
 #2
avatar
+1
Best Answer

Sorry CPhill, I get a slightly different answer as follows:

 

It is true that there are 128 matches, but that icludes both men and women.

There are seven rounds in every Slam tournament, including the Australian Open:

First Round, with 128 players (sixty-four matches)

Second Round, with 64 players (thirty-two matches)

Third Round, with 32 players (sixteen matches)

Fourth Round, with 16 players (eight matches)

Quarterfinals, with 8 players (four matches)

Semifinals, with 4 players (two matches)

Final, with the last two players playing for the title

If you add the above number of "matches" NOT "players" you get:

128 - 1 = 127 matches to crown men's champion, and:

128 - 1 = 127 matches to crown women's champion.

In general, if the number of matches is n, then the number of matches to crown the winner

is: n - 1, or 2^R - 1. R for rounds.

Guest Jan 16, 2018

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