This paper presents application of the binomial and factorial identities and expansions that are used in communication and cybersecurity. Cybersecurity is the practice of protecting the computing systems, communication networks, data and programs from cyber-attacks. Its objective is to reduce the risk of cyber-attacks and protect against the unauthorized exploitation of systems and networks. For this purposes, we need a strong security mathematical algorithm like RSA algorithm and Elliptic Curve Cryptography. In this connection, computing technique based on factorial and binomial identities is developed for the researchers who are working in communication and cybersecurity.