Problem 764. Soccer - TOTO

Created by Reza Ahmadzadeh

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>How many different outcomes are there in a soccer-TOTO with n games?</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>For each game there are three results: win - loss - equal. So for example with 2 games between team A and B, we can have different outcomes:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>A win(1), A loss(-1), A draw(0) for first game and A win(1), A loss(-1), A draw(0) for the next game. Outcomes are like this:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[   1  1\n   1  0\n   1 -1\n   0  1\n   0  0\n   0 -1\n  -1  1\n  -1  0\n  -1 -1]]></w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Solve

Solution Stats

57 Solutions
44 Solvers

Last Solution submitted on Dec 11, 2020

Last 200 Solutions

Problem Comments

3 Comments

3 Comments

Aurelien Queffurust on 13 Jun 2012

What is SOCCER-TOTO?
Can you please give a link or an example about this problem? Thanks

Richard Zapor on 13 Jun 2012

The question appears to ask for the number of potential outcomes of N soccer games where each game may be either a W, L, or T. Thus N=1 has 3 outcomes. The reality of soccer says the true number of expected outcomes is 1, with a total goal sum of 0, ALL 0-0 Ties.

Aurelien Queffurust on 15 Jun 2012

Thanks Richard.

Problem Recent Solvers44

Problem Tags

mathematics

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 764. Soccer - TOTO

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers44

Suggested Problems

More from this Author11

Problem Tags

Community Treasure Hunt

Problem 764. Soccer - TOTO

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers44

Suggested Problems

More from this Author11

Problem Tags

Community Treasure Hunt

Players