In a round-robin tournament every player plays every other player. Suppose we give each person 2 points for a?

The sum of the points is 20 ; when there are 5 players , the number of matches played is 10 ( since A will play the remaining 4 , while B plays the remaining 3 , C plays the remaining 2 , while D plays the remaining 1 match )

Since every match has either a winner and a loser , or two tied players , and since the tie earns each player 1 point ( the same as the result of a win and a loss ) , the total of 20 points does not depend on the outcome of a game.

If a tie had earned each player less than a point or more than 1 point but less than 2 points , then the total would have depended on the outcome of a game.

Every game contributes 2 points to the sum. A 5 person round-robin tournament has 10 games for a total of 20 points, regardless of actual scores.

Oh! Great Idea =) Serbia vs Paraguay - On hard court - Most definitely Serbia 2-0, Djokovic and Jankovic would be just way too much for Delgado and de Los Rios, Serbia has more than enough experience and talent to shut out Paraguay. Italia vs Latvia - On clay - I'm going to go with an upset here (even though neither are seeded I would still think of it as an upset) and say that Latvia would win. I would imagine that on clay Gulbis would win (based off of his great results on clay this year) and Schiavone would win for Italy but in doubles I think Latvia would pull it off so Latvia 2-1 Switzerland vs Taipei - On grass Switzerland 2-0, Roger is obviously going to win his match, and he'll inspire the other one (with the annoyingly long name) to win. Uzbekistan vs Germany - On hard - Germany definitely, both of their players would beat Uzbekistan's best any day (lol although I haven't looked at H2H). Germany 2-0 Spain vs Colombia - on grass: Nadal and Sanchez both have games which make them successful on grass (lol having a former Wimbledon champ on the team sure helps) so I say Spain over Columbia 2-0 Kazakhstan vs Ukraine - On clay - Kazakhstan 2-1, Korolev and Shvedova are both really good, but I don't think Korolev does well on clay so he would lose his singles match and then he would make it up for playing well in the doubles. Austria vs Sweden - On hard - Sweden here cause Soderling is more than talented enough to get his win over Melzer, and even if Arvidsson can't beat Bammer, I have enough faith that Soderling and Arvidsson could pull together for the doubles and win 2-1 Slovenia vs France - carpet - Haha Franche 2-0, no description needed... USA vs Netherlands - On hard - USA 2-0, lol Serena and Andy could clean up almost any other group of players. Israel vs Poland - On clay - Hmmmm I'll say Poland in a gripping encounter that sees Poland barely squeeze by in a super tight doubles match. Poland 2-1 Argentina vs Slovakia - On hard - Well Del Potro is really injured so I'm not sure if we are counting that right now or if we are pretending he is healthy for this. Either way I'm going to pick Slovakia for the upset since I think that Dulko and Del Potro would lose in doubles. If we are putting into fact that Del Potro is injured then Slovakia 2-0, if not then Slovakia 2-1 India vs Czech Republic - On hard - The Czech Republic would dominate them big time even if I was being optimistic although Devvarman could trouble Berdych a bit. Czech Republic 2-0 Australia vs South Africa - On hard - Another domination match supposing that Stosur is somewhere near an acceptable form rather than the other form we know she is capable of where she pretty much can't play tennis. Australia 2-0 Croatia vs Romania - On clay - Hanescu is pretty decent on clay, and Dulgheru is really good on clay, so I'm going to say that Romania will scrap this one out with a 2-0 win. Belgium vs Great Britain - On hard - I think that Murray would demolish Rochus and Clijsters would take down Baltacha, but Murray has never been very good at doubles no matter his partner, so I think Belgium would win 2-1 Japan vs Russia - grass - Russia with an extremely quick 2-0 victory...