A football matches has been organized in such a fashion, every participating team plays a match against every other team once and only once.
If 36 matches are totally played, how many teams participated?

• Totally 9 teams are participated.
  
  For a match u need 2 teams.
  Suppose there are totally 'n'teams.
  Now we have to choose 2 teams out of 'n' teams.
  
  nC2 = 36;
  Solve to get n=9.
  
  n(n-1)/2 = 36
  9(9-1)/2 = 36
  9(8)/2 = 36
  72/2 = 36
  
  So, answer is 9 If 36 matches are totally played.
• 12 years agoHelpfull: Yes(1) No(1)
• If there are x teams,
  total no. of matches played = x(x-1)/2 =36
  x*(x-1) = 72 = 9*8
  
  so x=9
• 12 years agoHelpfull: Yes(0) No(1)