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lgbasallote

There are 13 teams in a tournament. Each team is to play with each other only once. What is the minimum number of days can they all play without any team playing more than one game a day

  • one year ago
  • one year ago

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  1. Rohangrr
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    6 and a half days!

    • one year ago
  2. lgbasallote
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    1) that's not correct 2) this doesn't have an "LGBARIDDLE" heading so im asking for solution

    • one year ago
  3. Rohangrr
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    |dw:1348374494350:dw|

    • one year ago
  4. pizzapi
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    13!/[(13-2)!2!]

    • one year ago
  5. pizzapi
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    i think that's right, but let me double check

    • one year ago
  6. kulprit
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    18 DAYS

    • one year ago
  7. pizzapi
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    yep, 13C2

    • one year ago
  8. pizzapi
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    all possible ways to choose 2 team out of 13

    • one year ago
  9. lgbasallote
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    how are you all getting those?

    • one year ago
  10. lgbasallote
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    and i've tried 13C2 @pizzapi it's not that

    • one year ago
  11. nphuongsun93
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    12 days. <-' I guess

    • one year ago
  12. lgbasallote
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    no. it's supposed to be 13 gamedays with 6 games each. but i don't know how

    • one year ago
  13. lgbasallote
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    13C1?

    • one year ago
  14. pizzapi
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    wait, so all the teams play 6 games each?

    • one year ago
  15. lgbasallote
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    i have no idea. i suppose it means each day has 6 games

    • one year ago
  16. pizzapi
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    13C2 divided by 6

    • one year ago
  17. pizzapi
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    since 6 games per day

    • one year ago
  18. lgbasallote
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    but how do you know 6 games per day?

    • one year ago
  19. lgbasallote
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    it wasn't given

    • one year ago
  20. panlac01
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    pay attention: What is the minimum number of days can they all play without any team playing more than one game a day?

    • one year ago
  21. pizzapi
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    6 teams can play 1 game everyday

    • one year ago
  22. pizzapi
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    that's the maximum possible games

    • one year ago
  23. pizzapi
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    per day

    • one year ago
  24. lgbasallote
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    it's looking for minimum though

    • one year ago
  25. pizzapi
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    no, its 13 days, with 6 games per day

    • one year ago
  26. pizzapi
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    because a maximum of 6 games can be played per day

    • one year ago
  27. pizzapi
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    12 teams can play 6 games on day 1 repeat for day 2 etc.

    • one year ago
  28. lgbasallote
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    i still don't get the logic why that's the solution

    • one year ago
  29. pizzapi
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    total games=13C2

    • one year ago
  30. pizzapi
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    maximum games per day=6

    • one year ago
  31. ganeshie8
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    im getting 12 days : first team finishes all its games(12) first day, second team finishes all its remaining games(11) second day, ... 12+11+10+9+8+7+6+5+4+3+2+1

    • one year ago
  32. pizzapi
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    minimum days=total games/max games per day

    • one year ago
  33. pizzapi
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    @ganeshie8 each team can only play 1 game for day

    • one year ago
  34. pizzapi
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    *per

    • one year ago
  35. lgbasallote
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    if you divide total by max..won't that make the final answer max?

    • one year ago
  36. ganeshie8
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    oops ! bad logic disregard that

    • one year ago
  37. pizzapi
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    no cuz the minimum would be 1 game per day

    • one year ago
  38. pizzapi
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    you are trying to minmize the number of days, by fitting the most games in one day

    • one year ago
  39. panlac01
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    I don't think you're reading the whole question and given correctly.

    • one year ago
  40. lgbasallote
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    what dp you mean @panlac01 ?

    • one year ago
  41. lgbasallote
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    is there a different solution?

    • one year ago
  42. lgbasallote
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    13C1 gives the same result though...

    • one year ago
  43. lgbasallote
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    13 teams..one game per day...so 13C1 would make sense right?

    • one year ago
  44. pizzapi
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    no, there must be a total of 78 games

    • one year ago
  45. pizzapi
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    13 teams must play all the other teams

    • one year ago
  46. lgbasallote
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    isn't that what 13C1 means?

    • one year ago
  47. panlac01
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    with 13 teams, only 12 teams can play in one day

    • one year ago
  48. pizzapi
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    no 13 C 1 means the number of ways you can select 1 team from 13 teams

    • one year ago
  49. panlac01
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    the question is, what is the minimum day that they can ALL play without any team playing more than 1 team a day

    • one year ago
  50. lgbasallote
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    so what are you implying?

    • one year ago
  51. pizzapi
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    12 team playing on 1 day=6 games in total for the day

    • one year ago
  52. lgbasallote
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    this was a question in a board exam back in '94 so it's meant to be tricky

    • one year ago
  53. panlac01
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    in the first day, you are left with one team unable to play

    • one year ago
  54. panlac01
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    so you need to move on to the second day to give that specific team who didn't play to play.

    • one year ago
  55. lgbasallote
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    i really think 13C1 makes sense

    • one year ago
  56. lgbasallote
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    in the case of (13C2)/6...why divide by 6? of all the numbers?

    • one year ago
  57. pizzapi
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    6 is the number of games played in 1 day by 12 teams

    • one year ago
  58. lgbasallote
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    but what about for the case of 13 teams?

    • one year ago
  59. pizzapi
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    only 12 teams can play per day because they have to be grouped in teams of 2

    • one year ago
  60. lgbasallote
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    i don't think that means the other team should be disregarded

    • one year ago
  61. pizzapi
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    its a 1v1 match, 2 teams per game

    • one year ago
  62. pizzapi
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    okay, on the first day team 1 vs 2 3 vs 4 5 vs 6 7 vs 8 9 vs 10 11 vs 12 the 13th team can't play because all the other teams have already played a game

    • one year ago
  63. lgbasallote
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    yes i get that. but im asking for the case of 13 teams. is that logic applicable in that case?

    • one year ago
  64. lgbasallote
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    you used 13C2 and then divided by 6 (which is for 12 teams)

    • one year ago
  65. pizzapi
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    13C2 represents the total games because you are select teams of 2 out of 13 teams if you organize all the games, 6 games per day, it would take 13 days in total

    • one year ago
  66. pizzapi
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    *groups of two teams out of 13 teams

    • one year ago
  67. panlac01
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    so what is the answer with the formula being suggested?

    • one year ago
  68. panlac01
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    ganesh is close

    • one year ago
  69. pizzapi
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    (13C2)/6 I really need to work on explaining things, hopefully openstudy will help me with that

    • one year ago
  70. panlac01
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    don't worry bro, you got it from the first time. Illustration makes a better explanation sometimes.

    • one year ago
  71. lgbasallote
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    so do you agree with pizzapi already @panlac01 ?

    • one year ago
  72. PhoenixFire
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    @pizzapi Is right. Because there has to be a total of 78 games played for each team to play each other team. It asks for the minimum number of days for these 78 games to be played in (at least that's the interpretation of the question). So to find that you divide 78 by the maximum number of games that can be played on a single day, which is 6. Therefore, 78/6=13. It takes 13 days for all teams to play each other.

    • one year ago
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