23: Binomial and multinomial coefficients Last updated Save as PDF Page ID 83516 Jeremy Sylvestre University of Alberta Augustana 23.1: Bionomial Coefficients Binomial: an expression of the form (x+y)n, where n∈N and x,y are real numbers (or elements of any commutative ring with identity) 23.2: Multinomial Coefficients Trinomial Theorem. The expansion of the trinomial (x+y+z)n is the sum of all possible products 23.3: Applications Counting partitions of a finite set. If vertA|=n, then the number of ways to partition A into m disjoint subsets A1,A2,…,Am, 23.4: Exercises