Given that the number of teams in a football league is 8,
and each team has to play 2 matches with each of the other teams, find the total number of matches that were played.
For each match, we need to pick two teams. For the first team, we
have 8 options, for the second team we have 7 options.
Therefore, from the fundamental counting principle, the total
number of matches to be played will be .
Notice that this will result in each team playing each other
twice, since for any two teams and , we have counted both
choosing first then , as well as choosing first then