Question

A sports conference has 14 teams in two divisions of 7. how many games are in a complete season for the conference if each team must play every other team in its own division twice and every team in the other division once?

Answer 1

Number of teams = 14 teams
Number of divisions = 2
Number of teams in each division = 7

Then;
Total number of pairings = 7C2 = 21
These games happens twice and the same happens on the other division.
Within the same division,
Number of games = 4*21 = 84 games
And number of games between the two divisions = 7*7 = 49

Total number of games for the conference = 84+49 = 133 games.