Author(s)

Zhongqi Zhou¹, Shijie Zhou²

¹Hubei Coal Geology Bureau, Wuhan, China.
²Wuhan School, Beijing New Oriental Group, Wuhan, China.

In this paper, the concepts of combination number, factorial and Euler function are generalized, and the concepts of generalized combination number, generalized Euler function and m factorial of n are proposed. Several typical Identities and congruence of generalized combination number are proved, and the calculation formulas of generalized Euler function are derived. Using the m factorial of n, the congruence formula of the modular prime of the original factorial is generalized.

Generalization of Combination Number, Factorial Generalization, Euler Function Generalization

Zhou, Z. and Zhou, S. (2024) The Generalization of Combination Number. Open Access Library Journal, 11, 1-9. doi: 10.4236/oalib.1112012.