Technically, there’s a lot more options. Any axis can have any name. The reason why these two main systems exist is because of 2D coordinates.
A 2D coordinate system can either be viewed top-down (piece of paper on a table) or from the front (pixels on a screen). So while X stays the same in both of these options (and thus isn’t contested in 3D coordinates), Y is either up (on a screen) or ahead (on paper), and Z then gets whatever axis is left over.
Technically, there’s a lot more options. Any axis can have any name. The reason why these two main systems exist is because of 2D coordinates.
A 2D coordinate system can either be viewed top-down (piece of paper on a table) or from the front (pixels on a screen). So while X stays the same in both of these options (and thus isn’t contested in 3D coordinates), Y is either up (on a screen) or ahead (on paper), and Z then gets whatever axis is left over.