Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

lgbasallote

  • 2 years ago

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

  • This Question is Closed
  1. Rohangrr
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    6 and a half days!

  2. lgbasallote
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    1) that's not correct 2) this doesn't have an "LGBARIDDLE" heading so im asking for solution

  3. Rohangrr
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    |dw:1348374494350:dw|

  4. pizzapi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    13!/[(13-2)!2!]

  5. pizzapi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i think that's right, but let me double check

  6. kulprit
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    18 DAYS

  7. pizzapi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yep, 13C2

  8. pizzapi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    all possible ways to choose 2 team out of 13

  9. lgbasallote
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    how are you all getting those?

  10. lgbasallote
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    and i've tried 13C2 @pizzapi it's not that

  11. nphuongsun93
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    12 days. <-' I guess

  12. lgbasallote
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    no. it's supposed to be 13 gamedays with 6 games each. but i don't know how

  13. lgbasallote
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    13C1?

  14. pizzapi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    wait, so all the teams play 6 games each?

  15. lgbasallote
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i have no idea. i suppose it means each day has 6 games

  16. pizzapi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    13C2 divided by 6

  17. pizzapi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    since 6 games per day

  18. lgbasallote
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    but how do you know 6 games per day?

  19. lgbasallote
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    it wasn't given

  20. panlac01
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

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

  21. pizzapi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    6 teams can play 1 game everyday

  22. pizzapi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    that's the maximum possible games

  23. pizzapi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    per day

  24. lgbasallote
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    it's looking for minimum though

  25. pizzapi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    no, its 13 days, with 6 games per day

  26. pizzapi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    because a maximum of 6 games can be played per day

  27. pizzapi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    12 teams can play 6 games on day 1 repeat for day 2 etc.

  28. lgbasallote
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i still don't get the logic why that's the solution

  29. pizzapi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    total games=13C2

  30. pizzapi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    maximum games per day=6

  31. ganeshie8
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    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

  32. pizzapi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    minimum days=total games/max games per day

  33. pizzapi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @ganeshie8 each team can only play 1 game for day

  34. pizzapi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    *per

  35. lgbasallote
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    if you divide total by max..won't that make the final answer max?

  36. ganeshie8
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oops ! bad logic disregard that

  37. pizzapi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    no cuz the minimum would be 1 game per day

  38. pizzapi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you are trying to minmize the number of days, by fitting the most games in one day

  39. panlac01
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I don't think you're reading the whole question and given correctly.

  40. lgbasallote
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    what dp you mean @panlac01 ?

  41. lgbasallote
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    is there a different solution?

  42. lgbasallote
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    13C1 gives the same result though...

  43. lgbasallote
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    13 teams..one game per day...so 13C1 would make sense right?

  44. pizzapi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    no, there must be a total of 78 games

  45. pizzapi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    13 teams must play all the other teams

  46. lgbasallote
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    isn't that what 13C1 means?

  47. panlac01
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    with 13 teams, only 12 teams can play in one day

  48. pizzapi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    no 13 C 1 means the number of ways you can select 1 team from 13 teams

  49. panlac01
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    the question is, what is the minimum day that they can ALL play without any team playing more than 1 team a day

  50. lgbasallote
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so what are you implying?

  51. pizzapi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    12 team playing on 1 day=6 games in total for the day

  52. lgbasallote
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    this was a question in a board exam back in '94 so it's meant to be tricky

  53. panlac01
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    in the first day, you are left with one team unable to play

  54. panlac01
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so you need to move on to the second day to give that specific team who didn't play to play.

  55. lgbasallote
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i really think 13C1 makes sense

  56. lgbasallote
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    in the case of (13C2)/6...why divide by 6? of all the numbers?

  57. pizzapi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    6 is the number of games played in 1 day by 12 teams

  58. lgbasallote
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    but what about for the case of 13 teams?

  59. pizzapi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    only 12 teams can play per day because they have to be grouped in teams of 2

  60. lgbasallote
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i don't think that means the other team should be disregarded

  61. pizzapi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    its a 1v1 match, 2 teams per game

  62. pizzapi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    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

  63. lgbasallote
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes i get that. but im asking for the case of 13 teams. is that logic applicable in that case?

  64. lgbasallote
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    you used 13C2 and then divided by 6 (which is for 12 teams)

  65. pizzapi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    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

  66. pizzapi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    *groups of two teams out of 13 teams

  67. panlac01
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so what is the answer with the formula being suggested?

  68. panlac01
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ganesh is close

  69. pizzapi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    (13C2)/6 I really need to work on explaining things, hopefully openstudy will help me with that

  70. panlac01
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    don't worry bro, you got it from the first time. Illustration makes a better explanation sometimes.

  71. lgbasallote
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so do you agree with pizzapi already @panlac01 ?

  72. PhoenixFire
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @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.

  73. Not the answer you are looking for?
    Search for more explanations.

    Search OpenStudy
    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.