How many ways can six 2x4 Lego bricks be combined?

Six 2x4 LEGO bricks can be combined in 915,103,765 different ways.

This startling figure comes from mathematical analysis of identical standard bricks, not from counting only the models shown in official instructions. Each brick can be attached in many positions and orientations, and every additional brick multiplies the number of possible structures dramatically.

The calculation assumes six bricks of the same 2x4 shape and treats arrangements as different when their physical configurations differ. It does not mean that every arrangement is equally useful, attractive, or stable; it simply counts the distinct ways the bricks can be connected under the stated model.

The growth is rapid. Two bricks already allow 24 arrangements, while three allow 1,560. With five bricks the count reaches 10,116,403, so the leap to more than 915 million with six bricks is a vivid example of combinatorial growth. This is why even a small handful of LEGO bricks can support an astonishing range of constructions.