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
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OpenStudy (anonymous):
6 and a half days!
OpenStudy (lgbasallote):
1) that's not correct
2) this doesn't have an "LGBARIDDLE" heading so im asking for solution
OpenStudy (anonymous):
|dw:1348374494350:dw|
OpenStudy (anonymous):
13!/[(13-2)!2!]
OpenStudy (anonymous):
i think that's right, but let me double check
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OpenStudy (anonymous):
18 DAYS
OpenStudy (anonymous):
yep, 13C2
OpenStudy (anonymous):
all possible ways to choose 2 team out of 13
OpenStudy (lgbasallote):
how are you all getting those?
OpenStudy (lgbasallote):
and i've tried 13C2 @pizzapi it's not that
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OpenStudy (anonymous):
12 days. <-'
I guess
OpenStudy (lgbasallote):
no. it's supposed to be 13 gamedays with 6 games each. but i don't know how
OpenStudy (lgbasallote):
13C1?
OpenStudy (anonymous):
wait, so all the teams play 6 games each?
OpenStudy (lgbasallote):
i have no idea. i suppose it means each day has 6 games
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OpenStudy (anonymous):
13C2 divided by 6
OpenStudy (anonymous):
since 6 games per day
OpenStudy (lgbasallote):
but how do you know 6 games per day?
OpenStudy (lgbasallote):
it wasn't given
OpenStudy (anonymous):
pay attention: What is the minimum number of days can they all play without any team playing more than one game a day?
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OpenStudy (anonymous):
6 teams can play 1 game everyday
OpenStudy (anonymous):
that's the maximum possible games
OpenStudy (anonymous):
per day
OpenStudy (lgbasallote):
it's looking for minimum though
OpenStudy (anonymous):
no, its 13 days, with 6 games per day
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OpenStudy (anonymous):
because a maximum of 6 games can be played per day
OpenStudy (anonymous):
12 teams can play 6 games on day 1
repeat for day 2
etc.
OpenStudy (lgbasallote):
i still don't get the logic why that's the solution
OpenStudy (anonymous):
total games=13C2
OpenStudy (anonymous):
maximum games per day=6
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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
OpenStudy (anonymous):
minimum days=total games/max games per day
OpenStudy (anonymous):
@ganeshie8 each team can only play 1 game for day
OpenStudy (anonymous):
*per
OpenStudy (lgbasallote):
if you divide total by max..won't that make the final answer max?
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