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: ½ of the team had to be outfielders and infielders ¼ of the team had to be starting pitchers ⅙ of the team had to be relief pitchers ⅛ of the team had to be catchers the manager was taken aback by the innumeracy exhibited by his boss, yet he found a way to comply, How did he do it?