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anonymous

  • one year ago

Help me

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  1. anonymous
    • one year ago
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    this is my question image

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  2. mathmath333
    • one year ago
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    hint:each of the 17 teams will play 16 games

  3. anonymous
    • one year ago
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    means=== 16*17=272

  4. ganeshie8
    • one year ago
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    There are \(17\) teams. It requires \(2\) teams for game, so there will be \(\binom{17}{2} = 136\) games in total.

  5. ganeshie8
    • one year ago
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    There are \(17\) teams. It requires \(2\) teams for a game, so there will be \(\binom{17}{2} = 136\) games in total.

  6. anonymous
    • one year ago
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    are u sure???

  7. ganeshie8
    • one year ago
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    familiar with handshake problem ? http://mathworld.wolfram.com/HandshakeProblem.html

  8. anonymous
    • one year ago
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    ohh yes,

  9. anonymous
    • one year ago
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    Can u tell me how to do graph

  10. ganeshie8
    • one year ago
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    Call the teams with numbers and put them in a circle so that the graph looks neat |dw:1438552119794:dw|

  11. ganeshie8
    • one year ago
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    Btw, those numbers are vertices and they represent the 17 teams.

  12. ganeshie8
    • one year ago
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    team \(\color{blue}{1}\) plays one game with each of the 16 other teams, yes ?

  13. anonymous
    • one year ago
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    cool,

  14. ganeshie8
    • one year ago
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    so draw an edge between team \(\color{blue}{1}\) and each of the other 16 teams : |dw:1438552375693:dw|

  15. ganeshie8
    • one year ago
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    each edge represents a "game" between the vertices it connects

  16. ganeshie8
    • one year ago
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    Notice that in team \(\color{blue}{1}\) has played with 16 other teams, so there are 16 edges

  17. anonymous
    • one year ago
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    thanks a lot, :)

  18. ganeshie8
    • one year ago
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    thats not the complete graph, next you pretend that team 1 is not there, and draw edges from team 2 to remaining 15 other teams

  19. anonymous
    • one year ago
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    yes i got it now

  20. ganeshie8
    • one year ago
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    |dw:1438552756905:dw|

  21. ganeshie8
    • one year ago
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    Notice that \[16+15+14+\cdots +3+2+1 = 136\]

  22. anonymous
    • one year ago
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    thank you ll rate u

  23. ganeshie8
    • one year ago
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    yw

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