A set cover is a fundamental concept in combinatorial optimization and theoretical computer science, focused on selecting a minimum number of subsets from a given collection to cover all elements in a universal set. In practical terms, this problem arises in various fields, such as resource allocation, network design, and facility location. For instance, when organizing events, a set cover can help determine the least number of venues needed to accommodate all participants based on their preferences. The challenge lies in efficiently finding the optimal subsets, as the problem is NP-hard, meaning that it becomes increasingly difficult to solve as the size of the set grows. Various algorithms and heuristics have been developed to approach set cover problems, balancing computational efficiency with the quality of the solution.