The manager of a baseball team received a strange communication
from the team's general manager, who told him to select 25 players for
his roster according to this formula:
1/2 of the team had to be outfielders and infielders
1/4 of the team had to be starting pitchers
1/6 of the team had to be relief pitchers
1/8 of the team had to be catchers
The manager was a bit confused by the general manager's request,
yet complied anyway. How did he do it