A soccer league is divided into a junior and a senior division, separated not by age but by a player's skill level  This year, to determine the division for which an aspirant is best qualified, the league held a week-long trial, after which coach A and coach B selected players  Coach A nominated sixteen of the forty players for the senior league  Amongst Coach B's nominations for the senior division were four players not nominated by Coach A
Ttherefore, there will be twenty players in the senior division
To be selected for the senior division, a player need only be nominated by one of the two coaches.