Lattice Path Enumeration is a mathematical technique used to count the number of distinct paths in a grid or lattice. These paths typically move in specific directions, such as right and up, starting from one corner of the grid and ending at another. This concept is often visualized using a coordinate system, where each step corresponds to a movement along the axes. This enumeration is closely related to combinatorics and can be applied in various fields, including computer science and physics. The famous Catalan numbers are a well-known example of lattice path enumeration, representing the number of valid paths that do not cross a diagonal line in a grid.