Rearranging Tiles

Discrete Mathematics Level pending

This painting is made from 12 different tiles:

If the tiles are all removed and replaced randomly (i.e. they can be rotated and/or moved to a different section of the 4x3 grid) how many different ways are there to rearrange the tiles?

Feel free to include only one significant digit.

Assumption: One arrangement consists of each of the 12 spaces above filled with one tile face up in one of four possible orientations (rotations). No turning tiles upside down.

Image credit:


Problem Loading...

Note Loading...

Set Loading...