Enumerative Combinatorics is a branch of mathematics focused on counting the number of ways to arrange or select objects from a set. It involves techniques to determine the total configurations of items, such as permutations and combinations, often using formulas and generating functions. This field is essential in various applications, including computer science, statistics, and optimization problems. By providing systematic methods for counting, Enumerative Combinatorics helps solve problems related to probability, graph theory, and even coding theory, making it a vital tool in both theoretical and applied mathematics.