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?	Select.
A) 7 B) 8 C) 9 D) 10 E) 11
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= 
<gadget id="calculator">72/2</gadget>
<output>36</output>
36   So, answer is 9 If 36 matches are totally played.   ANSWER:9
<result>C</result>
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?