## What is the formula of multinomial?

## What is the formula of multinomial?

In formal terms, the multinomial coefficient formula gives the expansion of (k1 + k2 … + kn) where ki are non-negative integers. Informally, you can think of it as a way to find how many permutations are possible when you have duplicate values for k. This is best illustrated with an example.

**What is a multinomial in math?**

Definition of multinomial : a mathematical expression that consists of the sum of several terms : polynomial.

**Are polynomial and multinomial the same?**

A polynomial is an algebraic expression with 1, 2 or 3 variables, whereas, a multinomial is a type of polynomial with 4 or more variables.

### What is the multinomial theorem used for?

The multinomial theorem is used to expand the power of a sum of two terms or more than two terms. The multinomial theorem is mainly used to generalize the binomial theorem to polynomials with terms that can have any number.

**How many terms are in a multinomial?**

The multinomial theorem describes how to expand the power of a sum of more than two terms. It is a generalization of the binomial theorem to polynomials with any number of terms.

**Is every polynomial a multinomial?**

A multinomial is not a type of polynomial. Polynomials are limited to positive integer powers of variables. A multinomial can contain, say, square roots of a variable.

## Is a monomial a multinomial?

Recall that a polynomial is a monomial or a multinomial in which the powers to which the variable is raised are all positive integers. The first two expressions in the preceding example are polynomials, but the third is not.

**What is multinomial theorem in discrete mathematics?**

In mathematics, the multinomial theorem describes how to expand a power of a sum in terms of powers of the terms in that sum. It is the generalization of the binomial theorem from binomials to multinomials.

**What is the difference between multivariate and multinomial?**

Like Mehmet says above: multinomial means the dependent variable (outcome) has more than 2 levels, multivariate means there is more than one dependent variable (outcome).