the bigger the teams needed the less games people have to play in a team tournament .. isnt it ?

lets say we have 120 players ... which can be either 10 teams of 12 players or 20 teams of 6 players

the 10 teams of 12 players let all 12 players of each team play against the corresponding player of all other teams .. giving 9 games per player in a team

for the 20 teams of 6 players this would mean 19 games per player in a team

maybe i am confused though ;)