14 wrestlers compete in a competition .if each wrestler wrestles one match each with each other wrestler ,what are the total numbers of matches.

1 answer

Each of the 14 wrestlers has 13 matches.
So, that makes 14*13 = 182 matches.
But, if that were true, each wrestler would have met the others twice
(10 vs 12 is the same as 12 vs 10) so divide by 2.
91 matches

This is the same as 1+2+3 + ... +13