由组合的代数定义出发对其性质进行探讨

Starting from the Algebraic Definition of Combination and Discussion on Its Properties

摘要: 本文回顾了$C_b^a$ 的定义并且由简单的定义出发，采用初等办法证明了其一些基本性质以及一些整除性质，在最后，本文将提出证明费马小定理(Fermat’s Little Theorem)的一种证明办法。

Abstract: This article revises the definition of $C_b^a$ and, starting from a simple definition, uses elementary mathematics to prove some of its basic properties as well as certain divisibility properties. In the final part, this article proposes a method to prove Fermat’s Little Theorem.