23: Binomial and multinomial coefficients
- Page ID
- 83516
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- 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,