16 players `P_(1),P_(2),P_(3),….P_(16)` take part in a tennis tournament. Lower suffix player is better than any higher suffix player. These players are to be divided into 4 groups each comprising of 4 players and the best from each group is selected to semifinals.
Q. Number of ways in which they can be divided into 4 equal groups if the players `P_(1),P_(2),P_(3)` and `P_(4)` are in different groups, is:

Options

A. `((11)!)/(216)`
B. `((12)!)/((3!)^(4))`
C. `((12)!)/((3!)^(4)(4!))`
D. `((11)!)/((3!)^(4))`

Answer

B