A

**formula**for the number of possible**combinations**of r objects from a set of n objects.**Formula**: Note: , where_{n}P_{r}is the**formula**for permutations of n objects taken r at a time.Similarly, it is asked, what is the binomial distribution formula?

This makes Figure 1 an example of a

**binomial distribution**. The**formula**for the**binomial distribution**is shown below: where P(x) is the probability of x successes out of N trials, N is the number of trials, and π is the probability of success on a given trial.What is an example of a binomial expression?

A

**binomial expression**is an algebraic**expression**consisting of two terms or monomials separated by a plus (+) or minus (−) sign.**Examples**of**binomials**include: ax + b, x^{2}− y^{2}, and 2x + 3y. In**Algebra**, you are often required to multiply**expressions**together.Who made the binomial theorem?

However, the pattern of numbers was already known to the European mathematicians of the

**late**Renaissance, including Stifel,**Niccolò Fontana Tartaglia**, and Simon Stevin.**Isaac Newton**is generally credited with the generalized binomial theorem, valid for any rational exponent.