Multinomial Computation and Factorial Theorems for Artificial Intelligence and Cybersecurity

Combinatorial techniques with factorial and multinomial computation are used as algorithms for the programs development to apply in artificial intelligence and cybersecurity. Methodological advances in combinatorics and mathematics play a vital role in machine learning and cryptology for data analysis and artificial intelligence-based cybersecurity for protection of the computing systems, devices, networks, programs and data from cyber-attacks. In connection with these ideas, this article is prepared for applications in computing science and cybersecurity. This paper presents computing and combinatorial formulae such as theorems on factorials, binomial coefficients, multinomial computation and probability and binomial distributions.