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. Therefore, there will be twenty players in the senior division.

Which of the following, if true, provides the strongest basis for the conclusion above to be warranted?

A:To be selected for the senior division, a player need only be nominated by one of the two coaches.

B:Of the sixteen players nominated by the coach A, coach B nominated more than half to play in the senior division.

C:All of the players not assigned to the senior division by both coaches were assigned to the junior division.

D:Of those chosen by both coaches to play in the senior division all will end up playing in the senior league.

E:The four players that Coach B but not Coach A selected for the senior division played the previous year in that division.