How many boxes in my cardboard box?

Dimensions of the cardboard box
inner width (x)	inner length (y)	inner height (z)

Dimensions of a box
side width (a)	front width (b)	box height (c)

	Boxes stacked in the initial sense
	Boxes upright, stacked in the same direction
	Boxes upright, fill all the spaces with boxes in the next way
	All the possibilities, stacked in the same direction
	All the possibilities, fill all the spaces with boxes in any direction

Senses informations