In a chess game a man plays 16 moves, one move to every piece in the following manner:-
- King can move 1 step in any direction
- Queen can move in any direction
- Rook can move straight in any direction
- Bishop can move in slant squares
- Knight can move 2 forward then 1 turned step
- Every pawn can move 1 or 2 step forward
What is the probability that after that move all the piece are arranged in third and fourth row if initially they are arranged in first and second row as the rule of game.