Multinomial models form the general foundation for analyzing multivariate or multicategory discrete data. We now consider a set of multinomial models with one and two discrete variates. After formulating their distributions in a polynomial form, we describe methods for exact inference and computation for these models. The speciﬁc aims of this chapter are:
• To show how to generate ﬁxed size subsets (combinations) of a set, and the compositions and partitions of an integer.