If you look on the back of your carpet tile, you will notice an arrow. That arrow indicates the default direction of the tile. Match the direction of these arrows with the directional arrows in the images below to create the desired effect.
This is the most common installation method. This method will look great with just about any tile, regardless of the pattern.
The monolithic installation method faces all tiles in the same direction. This method gives you more of a broadloom look.
The brick installation method lays out the tiles like you would see on a brick wall or on a brick building. You orient the tiles all in the same direction, and offset them horizontally by half the width of the tile on the following row.
The ashlar installation method lays out the tiles in the same direction, but staggers the tiles between rows. The tiles are staggered by half of a tile length.
Random is exactly how it sounds. You place the tiles in different directions, until you get the desired result.