lgbasallote
  • 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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
6 and a half days!
lgbasallote
  • lgbasallote
1) that's not correct 2) this doesn't have an "LGBARIDDLE" heading so im asking for solution
anonymous
  • anonymous
|dw:1348374494350:dw|

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More answers

anonymous
  • anonymous
13!/[(13-2)!2!]
anonymous
  • anonymous
i think that's right, but let me double check
anonymous
  • anonymous
18 DAYS
anonymous
  • anonymous
yep, 13C2
anonymous
  • anonymous
all possible ways to choose 2 team out of 13
lgbasallote
  • lgbasallote
how are you all getting those?
lgbasallote
  • lgbasallote
and i've tried 13C2 @pizzapi it's not that
anonymous
  • anonymous
12 days. <-' I guess
lgbasallote
  • lgbasallote
no. it's supposed to be 13 gamedays with 6 games each. but i don't know how
lgbasallote
  • lgbasallote
13C1?
anonymous
  • anonymous
wait, so all the teams play 6 games each?
lgbasallote
  • lgbasallote
i have no idea. i suppose it means each day has 6 games
anonymous
  • anonymous
13C2 divided by 6
anonymous
  • anonymous
since 6 games per day
lgbasallote
  • lgbasallote
but how do you know 6 games per day?
lgbasallote
  • lgbasallote
it wasn't given
anonymous
  • anonymous
pay attention: What is the minimum number of days can they all play without any team playing more than one game a day?
anonymous
  • anonymous
6 teams can play 1 game everyday
anonymous
  • anonymous
that's the maximum possible games
anonymous
  • anonymous
per day
lgbasallote
  • lgbasallote
it's looking for minimum though
anonymous
  • anonymous
no, its 13 days, with 6 games per day
anonymous
  • anonymous
because a maximum of 6 games can be played per day
anonymous
  • anonymous
12 teams can play 6 games on day 1 repeat for day 2 etc.
lgbasallote
  • lgbasallote
i still don't get the logic why that's the solution
anonymous
  • anonymous
total games=13C2
anonymous
  • anonymous
maximum games per day=6
ganeshie8
  • ganeshie8
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
anonymous
  • anonymous
minimum days=total games/max games per day
anonymous
  • anonymous
@ganeshie8 each team can only play 1 game for day
anonymous
  • anonymous
*per
lgbasallote
  • lgbasallote
if you divide total by max..won't that make the final answer max?
ganeshie8
  • ganeshie8
oops ! bad logic disregard that
anonymous
  • anonymous
no cuz the minimum would be 1 game per day
anonymous
  • anonymous
you are trying to minmize the number of days, by fitting the most games in one day
anonymous
  • anonymous
I don't think you're reading the whole question and given correctly.
lgbasallote
  • lgbasallote
what dp you mean @panlac01 ?
lgbasallote
  • lgbasallote
is there a different solution?
lgbasallote
  • lgbasallote
13C1 gives the same result though...
lgbasallote
  • lgbasallote
13 teams..one game per day...so 13C1 would make sense right?
anonymous
  • anonymous
no, there must be a total of 78 games
anonymous
  • anonymous
13 teams must play all the other teams
lgbasallote
  • lgbasallote
isn't that what 13C1 means?
anonymous
  • anonymous
with 13 teams, only 12 teams can play in one day
anonymous
  • anonymous
no 13 C 1 means the number of ways you can select 1 team from 13 teams
anonymous
  • anonymous
the question is, what is the minimum day that they can ALL play without any team playing more than 1 team a day
lgbasallote
  • lgbasallote
so what are you implying?
anonymous
  • anonymous
12 team playing on 1 day=6 games in total for the day
lgbasallote
  • lgbasallote
this was a question in a board exam back in '94 so it's meant to be tricky
anonymous
  • anonymous
in the first day, you are left with one team unable to play
anonymous
  • anonymous
so you need to move on to the second day to give that specific team who didn't play to play.
lgbasallote
  • lgbasallote
i really think 13C1 makes sense
lgbasallote
  • lgbasallote
in the case of (13C2)/6...why divide by 6? of all the numbers?
anonymous
  • anonymous
6 is the number of games played in 1 day by 12 teams
lgbasallote
  • lgbasallote
but what about for the case of 13 teams?
anonymous
  • anonymous
only 12 teams can play per day because they have to be grouped in teams of 2
lgbasallote
  • lgbasallote
i don't think that means the other team should be disregarded
anonymous
  • anonymous
its a 1v1 match, 2 teams per game
anonymous
  • anonymous
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
lgbasallote
  • lgbasallote
yes i get that. but im asking for the case of 13 teams. is that logic applicable in that case?
lgbasallote
  • lgbasallote
you used 13C2 and then divided by 6 (which is for 12 teams)
anonymous
  • anonymous
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
anonymous
  • anonymous
*groups of two teams out of 13 teams
anonymous
  • anonymous
so what is the answer with the formula being suggested?
anonymous
  • anonymous
ganesh is close
anonymous
  • anonymous
(13C2)/6 I really need to work on explaining things, hopefully openstudy will help me with that
anonymous
  • anonymous
don't worry bro, you got it from the first time. Illustration makes a better explanation sometimes.
lgbasallote
  • lgbasallote
so do you agree with pizzapi already @panlac01 ?
PhoenixFire
  • PhoenixFire
@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.

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