组合恒等式的几种证法及应用

On Some Proving Methods for Combinatorial Identities and Their Applications

组合恒等式在组合数学中占有重要的地位,它有多种证法,运用集合论的观点,求导法则和概率方法对几个重要的组合等式给出了直观简洁的证明.

Combinatorial identity plays a very important role in combinatorial mathematics, which can be proved with many methods. This paper uses the set theory, derivation principles and probability method to give a direct and simple solution to several important combinatorial identities.