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a set of football matches is to be organized

 
Thu Jan 17, 2013 11:44 pm  by tartle

a set of football matches is to be organized in a round robin fashion i.e every participating teams plays a match against every other team once if 45 matches are totally played ,how many teams participated?
 
   
Mon Feb 04, 2013 9:39 pm  by RDT316

Nine
 
   
Thu Jul 14, 2016 7:42 am  by Dzallen

n(n-1)/2=45

n=10


Last edited by Dzallen on Fri Jul 15, 2016 1:34 am; edited 1 time in total
 
   
Thu Jul 14, 2016 2:24 pm  by bathfilms

1 team only : 0 matches
2 teams : 1 match
3 teams : 3 matches
4: 6
5: 10
6: 15
7: 21
8: 28
9: 36
10: 45

So the answer is 10
(The sequence is 1,3,6,10,15,21,36,45... increasing by 1,2,3,4,5... etc)
 
   
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