On how many ways I can place $K$ objects in $N \times N \times N$ cube, assuming that in every coordinate $x$, $y$, $z$ (i.e. in every "row") may be at most one object? For example, if $N = 2$ and $K = 2$ then answer is $8$, because first object can be placed in $8$ positions, but the second object can be placed only in $1$ position.