A Probabilistic Proof of the Multinomial Theorem
arXiv:1608.01718 · doi:10.4169/amer.math.monthly.123.1.94
Abstract
In this note, we give an alternate proof of the multinomial theorem using a probabilistic approach. Although the multinomial theorem is basically a combinatorial result, our proof may be simpler for a student familiar with only basic probability concepts.
This is a preprint version. A revised version is available at AMM website