Problem 93 (difficulty: 3/10)

How many ways can one put on the chessboard:
 (1)  2 white rooks,    
 (2)  2 white rooks such that they cannot capture each other,
 (3)  1 white rook and 1 black rook,    
 (4)  1 white rook and 1 black rook such that they cannot capture each other? EredmEn
 (1)  \(\displaystyle \binom{64}2,\)
 (2)  \(\displaystyle \frac12\cdot64\cdot49\),
 (3)  \(\displaystyle 64\cdot63\),
 (4)  \(\displaystyle 64\cdot49\).

Give me another random problem!