20 tennis players can be divided into 2 groups, in the first group of 10 games won… [closed]Ordered chain in a tournamentHow many possible arrangements for a round robin tournament?possible outcomes for round-robin tennis tournamentgames in a round-robin tournamentCombinatorics olympiad problemWhat is the distribution of the results of a round robin tournament? What is the distribution of the number of winners?Tournament puzzlePossible outcomes for a tournament of tennisNumber of game won in a round-robin tournament$n$ Tennis players took part in the one-round table tennis tournament $(n geq 3)$. We say that player $A$ is better than player $B$, if …
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20 tennis players can be divided into 2 groups, in the first group of 10 games won… [closed]
Ordered chain in a tournamentHow many possible arrangements for a round robin tournament?possible outcomes for round-robin tennis tournamentgames in a round-robin tournamentCombinatorics olympiad problemWhat is the distribution of the results of a round robin tournament? What is the distribution of the number of winners?Tournament puzzlePossible outcomes for a tournament of tennisNumber of game won in a round-robin tournament$n$ Tennis players took part in the one-round table tennis tournament $(n geq 3)$. We say that player $A$ is better than player $B$, if …
$begingroup$
20 tennis players can be divided into 2 groups, in the first group of 10 games won, in the second group 9 wins. Tennis player A is better than tennis player B if
1) A won B
2) A won C, who won B
How many triples are there in which each is steeper than the rest?
(rewording by Mike Earnest)
In a round-robin tennis tournament with $20$ players, each player won either $9$ or $10$ matches, and there were no draws. We say that player $A$ is better than player $B$ if either
$A$ beat $B$, or- There is a player $C$ so $A$ beat $C$ and $C$ beat $B$.
How many triples of players are there where each player in the triple is better than each other player in the triple?
combinatorics graph-theory
edited Mar 15 at 23:30
Mike Earnest
25.6k22151
asked Mar 15 at 18:18
YaroslavYaroslav
1066
$endgroup$
closed as off-topic by Vinyl_cape_jawa, Eevee Trainer, Lee David Chung Lin, dantopa, Parcly Taxel Mar 16 at 2:27
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Eevee Trainer, Lee David Chung Lin, Parcly Taxel
add a comment |
$begingroup$
20 tennis players can be divided into 2 groups, in the first group of 10 games won, in the second group 9 wins. Tennis player A is better than tennis player B if
1) A won B
2) A won C, who won B
How many triples are there in which each is steeper than the rest?
(rewording by Mike Earnest)
In a round-robin tennis tournament with $20$ players, each player won either $9$ or $10$ matches, and there were no draws. We say that player $A$ is better than player $B$ if either
$A$ beat $B$, or- There is a player $C$ so $A$ beat $C$ and $C$ beat $B$.
How many triples of players are there where each player in the triple is better than each other player in the triple?
combinatorics graph-theory
edited Mar 15 at 23:30
Mike Earnest
25.6k22151
asked Mar 15 at 18:18
YaroslavYaroslav
1066
$endgroup$
closed as off-topic by Vinyl_cape_jawa, Eevee Trainer, Lee David Chung Lin, dantopa, Parcly Taxel Mar 16 at 2:27
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Eevee Trainer, Lee David Chung Lin, Parcly Taxel
$begingroup$
I am not sure if I understand your question. Can you please try to rephrase?
$endgroup$
– Anurag A
Mar 15 at 18:24
$begingroup$
I changed everything condition
$endgroup$
– Yaroslav
Mar 15 at 18:31
$begingroup$
This is unreadable (specifically, "in the first group of 10 games won" is a sentence fragment), perhaps something was lost in translation. Can you post the original phrasing of the problem exactly, in its original language? Perhaps someone can come up with a more legible translation.
$endgroup$
– Mike Earnest
Mar 15 at 18:41
$begingroup$
people were divided into 2 groups of those who won 10 matches and those who won 9 matches
$endgroup$
– Yaroslav
Mar 15 at 18:55
$begingroup$
Please include in the body of the question your own thoughts, the effort made so far, and the specific difficulties that got you stuck.
$endgroup$
– Lee David Chung Lin
Mar 16 at 0:25
add a comment |
$begingroup$
20 tennis players can be divided into 2 groups, in the first group of 10 games won, in the second group 9 wins. Tennis player A is better than tennis player B if
1) A won B
2) A won C, who won B
How many triples are there in which each is steeper than the rest?
(rewording by Mike Earnest)
In a round-robin tennis tournament with $20$ players, each player won either $9$ or $10$ matches, and there were no draws. We say that player $A$ is better than player $B$ if either
$A$ beat $B$, or- There is a player $C$ so $A$ beat $C$ and $C$ beat $B$.
How many triples of players are there where each player in the triple is better than each other player in the triple?
combinatorics graph-theory
edited Mar 15 at 23:30
Mike Earnest
25.6k22151
asked Mar 15 at 18:18
YaroslavYaroslav
1066
$endgroup$
20 tennis players can be divided into 2 groups, in the first group of 10 games won, in the second group 9 wins. Tennis player A is better than tennis player B if
1) A won B
2) A won C, who won B
How many triples are there in which each is steeper than the rest?
(rewording by Mike Earnest)
In a round-robin tennis tournament with $20$ players, each player won either $9$ or $10$ matches, and there were no draws. We say that player $A$ is better than player $B$ if either
$A$ beat $B$, or- There is a player $C$ so $A$ beat $C$ and $C$ beat $B$.
How many triples of players are there where each player in the triple is better than each other player in the triple?
combinatorics graph-theory
combinatorics graph-theory
edited Mar 15 at 23:30
Mike Earnest
25.6k22151
asked Mar 15 at 18:18
YaroslavYaroslav
1066
edited Mar 15 at 23:30
Mike Earnest
25.6k22151
asked Mar 15 at 18:18
YaroslavYaroslav
1066
edited Mar 15 at 23:30
Mike Earnest
25.6k22151
edited Mar 15 at 23:30
Mike Earnest
25.6k22151
edited Mar 15 at 23:30
Mike Earnest
25.6k22151
25.6k22151
asked Mar 15 at 18:18
YaroslavYaroslav
1066
asked Mar 15 at 18:18
YaroslavYaroslav
1066
asked Mar 15 at 18:18
YaroslavYaroslav
1066
1066
closed as off-topic by Vinyl_cape_jawa, Eevee Trainer, Lee David Chung Lin, dantopa, Parcly Taxel Mar 16 at 2:27
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Eevee Trainer, Lee David Chung Lin, Parcly Taxel
closed as off-topic by Vinyl_cape_jawa, Eevee Trainer, Lee David Chung Lin, dantopa, Parcly Taxel Mar 16 at 2:27
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Eevee Trainer, Lee David Chung Lin, Parcly Taxel
$begingroup$
I am not sure if I understand your question. Can you please try to rephrase?
$endgroup$
– Anurag A
Mar 15 at 18:24
$begingroup$
I changed everything condition
$endgroup$
– Yaroslav
Mar 15 at 18:31
$begingroup$
This is unreadable (specifically, "in the first group of 10 games won" is a sentence fragment), perhaps something was lost in translation. Can you post the original phrasing of the problem exactly, in its original language? Perhaps someone can come up with a more legible translation.
$endgroup$
– Mike Earnest
Mar 15 at 18:41
$begingroup$
people were divided into 2 groups of those who won 10 matches and those who won 9 matches
$endgroup$
– Yaroslav
Mar 15 at 18:55
$begingroup$
Please include in the body of the question your own thoughts, the effort made so far, and the specific difficulties that got you stuck.
$endgroup$
– Lee David Chung Lin
Mar 16 at 0:25
add a comment |
$begingroup$
I am not sure if I understand your question. Can you please try to rephrase?
$endgroup$
– Anurag A
Mar 15 at 18:24
$begingroup$
I changed everything condition
$endgroup$
– Yaroslav
Mar 15 at 18:31
$begingroup$
This is unreadable (specifically, "in the first group of 10 games won" is a sentence fragment), perhaps something was lost in translation. Can you post the original phrasing of the problem exactly, in its original language? Perhaps someone can come up with a more legible translation.
$endgroup$
– Mike Earnest
Mar 15 at 18:41
$begingroup$
people were divided into 2 groups of those who won 10 matches and those who won 9 matches
$endgroup$
– Yaroslav
Mar 15 at 18:55
$begingroup$
Please include in the body of the question your own thoughts, the effort made so far, and the specific difficulties that got you stuck.
$endgroup$
– Lee David Chung Lin
Mar 16 at 0:25
$begingroup$
I am not sure if I understand your question. Can you please try to rephrase?
$endgroup$
– Anurag A
Mar 15 at 18:24
$begingroup$
I am not sure if I understand your question. Can you please try to rephrase?
$endgroup$
– Anurag A
Mar 15 at 18:24
$begingroup$
I changed everything condition
$endgroup$
– Yaroslav
Mar 15 at 18:31
$begingroup$
I changed everything condition
$endgroup$
– Yaroslav
Mar 15 at 18:31
$begingroup$
This is unreadable (specifically, "in the first group of 10 games won" is a sentence fragment), perhaps something was lost in translation. Can you post the original phrasing of the problem exactly, in its original language? Perhaps someone can come up with a more legible translation.
$endgroup$
– Mike Earnest
Mar 15 at 18:41
$begingroup$
This is unreadable (specifically, "in the first group of 10 games won" is a sentence fragment), perhaps something was lost in translation. Can you post the original phrasing of the problem exactly, in its original language? Perhaps someone can come up with a more legible translation.
$endgroup$
– Mike Earnest
Mar 15 at 18:41
$begingroup$
people were divided into 2 groups of those who won 10 matches and those who won 9 matches
$endgroup$
– Yaroslav
Mar 15 at 18:55
$begingroup$
people were divided into 2 groups of those who won 10 matches and those who won 9 matches
$endgroup$
– Yaroslav
Mar 15 at 18:55
$begingroup$
Please include in the body of the question your own thoughts, the effort made so far, and the specific difficulties that got you stuck.
$endgroup$
– Lee David Chung Lin
Mar 16 at 0:25
$begingroup$
Please include in the body of the question your own thoughts, the effort made so far, and the specific difficulties that got you stuck.
$endgroup$
– Lee David Chung Lin
Mar 16 at 0:25
add a comment |
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$begingroup$
I am not sure if I understand your question. Can you please try to rephrase?
$endgroup$
– Anurag A
Mar 15 at 18:24
$begingroup$
I changed everything condition
$endgroup$
– Yaroslav
Mar 15 at 18:31
$begingroup$
This is unreadable (specifically, "in the first group of 10 games won" is a sentence fragment), perhaps something was lost in translation. Can you post the original phrasing of the problem exactly, in its original language? Perhaps someone can come up with a more legible translation.
$endgroup$
– Mike Earnest
Mar 15 at 18:41
$begingroup$
people were divided into 2 groups of those who won 10 matches and those who won 9 matches
$endgroup$
– Yaroslav
Mar 15 at 18:55
$begingroup$
Please include in the body of the question your own thoughts, the effort made so far, and the specific difficulties that got you stuck.
$endgroup$
– Lee David Chung Lin
Mar 16 at 0:25