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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
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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lgbasalloteBest ResponseYou've already chosen the best response.0
1) that's not correct 2) this doesn't have an "LGBARIDDLE" heading so im asking for solution
 one year ago

RohangrrBest ResponseYou've already chosen the best response.2
dw:1348374494350:dw
 one year ago

pizzapiBest ResponseYou've already chosen the best response.1
i think that's right, but let me double check
 one year ago

pizzapiBest ResponseYou've already chosen the best response.1
all possible ways to choose 2 team out of 13
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
how are you all getting those?
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
and i've tried 13C2 @pizzapi it's not that
 one year ago

nphuongsun93Best ResponseYou've already chosen the best response.0
12 days. <' I guess
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
no. it's supposed to be 13 gamedays with 6 games each. but i don't know how
 one year ago

pizzapiBest ResponseYou've already chosen the best response.1
wait, so all the teams play 6 games each?
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
i have no idea. i suppose it means each day has 6 games
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
but how do you know 6 games per day?
 one year ago

panlac01Best ResponseYou've already chosen the best response.0
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

pizzapiBest ResponseYou've already chosen the best response.1
6 teams can play 1 game everyday
 one year ago

pizzapiBest ResponseYou've already chosen the best response.1
that's the maximum possible games
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
it's looking for minimum though
 one year ago

pizzapiBest ResponseYou've already chosen the best response.1
no, its 13 days, with 6 games per day
 one year ago

pizzapiBest ResponseYou've already chosen the best response.1
because a maximum of 6 games can be played per day
 one year ago

pizzapiBest ResponseYou've already chosen the best response.1
12 teams can play 6 games on day 1 repeat for day 2 etc.
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
i still don't get the logic why that's the solution
 one year ago

pizzapiBest ResponseYou've already chosen the best response.1
maximum games per day=6
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.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
 one year ago

pizzapiBest ResponseYou've already chosen the best response.1
minimum days=total games/max games per day
 one year ago

pizzapiBest ResponseYou've already chosen the best response.1
@ganeshie8 each team can only play 1 game for day
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
if you divide total by max..won't that make the final answer max?
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.0
oops ! bad logic disregard that
 one year ago

pizzapiBest ResponseYou've already chosen the best response.1
no cuz the minimum would be 1 game per day
 one year ago

pizzapiBest ResponseYou've already chosen the best response.1
you are trying to minmize the number of days, by fitting the most games in one day
 one year ago

panlac01Best ResponseYou've already chosen the best response.0
I don't think you're reading the whole question and given correctly.
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
what dp you mean @panlac01 ?
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
is there a different solution?
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
13C1 gives the same result though...
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
13 teams..one game per day...so 13C1 would make sense right?
 one year ago

pizzapiBest ResponseYou've already chosen the best response.1
no, there must be a total of 78 games
 one year ago

pizzapiBest ResponseYou've already chosen the best response.1
13 teams must play all the other teams
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
isn't that what 13C1 means?
 one year ago

panlac01Best ResponseYou've already chosen the best response.0
with 13 teams, only 12 teams can play in one day
 one year ago

pizzapiBest ResponseYou've already chosen the best response.1
no 13 C 1 means the number of ways you can select 1 team from 13 teams
 one year ago

panlac01Best ResponseYou've already chosen the best response.0
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

lgbasalloteBest ResponseYou've already chosen the best response.0
so what are you implying?
 one year ago

pizzapiBest ResponseYou've already chosen the best response.1
12 team playing on 1 day=6 games in total for the day
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
this was a question in a board exam back in '94 so it's meant to be tricky
 one year ago

panlac01Best ResponseYou've already chosen the best response.0
in the first day, you are left with one team unable to play
 one year ago

panlac01Best ResponseYou've already chosen the best response.0
so you need to move on to the second day to give that specific team who didn't play to play.
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
i really think 13C1 makes sense
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
in the case of (13C2)/6...why divide by 6? of all the numbers?
 one year ago

pizzapiBest ResponseYou've already chosen the best response.1
6 is the number of games played in 1 day by 12 teams
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
but what about for the case of 13 teams?
 one year ago

pizzapiBest ResponseYou've already chosen the best response.1
only 12 teams can play per day because they have to be grouped in teams of 2
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
i don't think that means the other team should be disregarded
 one year ago

pizzapiBest ResponseYou've already chosen the best response.1
its a 1v1 match, 2 teams per game
 one year ago

pizzapiBest ResponseYou've already chosen the best response.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
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
yes i get that. but im asking for the case of 13 teams. is that logic applicable in that case?
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
you used 13C2 and then divided by 6 (which is for 12 teams)
 one year ago

pizzapiBest ResponseYou've already chosen the best response.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
 one year ago

pizzapiBest ResponseYou've already chosen the best response.1
*groups of two teams out of 13 teams
 one year ago

panlac01Best ResponseYou've already chosen the best response.0
so what is the answer with the formula being suggested?
 one year ago

pizzapiBest ResponseYou've already chosen the best response.1
(13C2)/6 I really need to work on explaining things, hopefully openstudy will help me with that
 one year ago

panlac01Best ResponseYou've already chosen the best response.0
don't worry bro, you got it from the first time. Illustration makes a better explanation sometimes.
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
so do you agree with pizzapi already @panlac01 ?
 one year ago

PhoenixFireBest ResponseYou've already chosen the best response.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.
 one year ago
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