Information security has become very important in the fast-changing world of cloud computing because cloud service companies handle more and more sensitive and large amounts of data. Using applied discrete mathematics, this paper looks at how to make information security methods work better in the cloud. To come up with and improve security measures, the study uses combinatorial optimization, graph theory, and cryptography. We pay uncommon consideration to arrange security, information security, and controlling who can see what. We portray unused calculations that make key sharing and information exchange quicker and more secure. These calculations utilize graph-based models to appear and get it complex security structures. Discrete likelihood and Boolean variable based math are moreover utilized by us to discover and settle conceivable security gaps in cloud frameworks. Hypothetical investigate and re-enactments have appeared that our strategy makes a enormous distinction in how well and dependably security works. The comes about appear how to create security strategies that are more secure, quicker, and way better utilize of assets whereas still being secure. This think about includes to the region of cloud computing by giving us a scientific premise for making moved forward security arrangements that will secure the protection, exactness, and get to of information in cloud settings.