Latest self Aptitude Question SOLUTION: 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 m

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(#M40009501) SELF question Keep an EYE

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?

Devendra Marghade (12 years ago)

Solved Karan Read Solution (2)

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Vignesh  (12 years ago)

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.

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Karan  (12 years ago)

If there are x teams,
total no. of matches played = x(x-1)/2 =36
x*(x-1) = 72 = 9*8

so x=9

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