My Math Forum Damn confusing....

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 December 11th, 2011, 05:59 AM #1 Newbie   Joined: Dec 2011 Posts: 1 Thanks: 0 Damn confusing.... 72 matches are played in a tournament. Find the number of teams if each team plays 1 match with other teams.
 December 11th, 2011, 06:59 AM #2 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,958 Thanks: 1146 Math Focus: Elementary mathematics and beyond Re: Damn confusing.... Number of matches, M = n(n - 1)/2, where n is the number of teams, with each team playing each other team exactly once. Solving this for M = 72 doesn't give an integer result for n, so I doubt the problem is stated correctly. If M = 78, n = 13; if M = 66, n = 12.
 December 11th, 2011, 07:36 AM #3 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1038 Re: Damn confusing.... Deepz, you could have at least tried with fewer teams, to "see" how it works: 2: A,B : AB ; 1 3: A,B,C : AB,AC,BC ; 3 4: A,B,C,D : AB,AC,AD,BC,BD,CD ; 6 5: A,B,C,D,E : AB,AC,AD,AE,BC,BD,BE,CD,CE,DE ; 10 ... 1,3,6,10,15,21,28,36,45,55,66,78... Perhaps one team got drunk with 6 games to go and got locked up for disturbing the peace
December 11th, 2011, 09:26 AM   #4
Math Team

Joined: Apr 2010

Posts: 2,780
Thanks: 361

Re: Damn confusing....

Perhaps, there is a returnmatch; AB and BA..

EDIT (actually not,
Quote:
 Originally Posted by deepz007 plays 1 match with other teams.
)

 Tags confusing, damn

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