The binomial theorem provides a simple method for determining the coefficients of each term in the expansion of a binomial with the general equation (A + B) ⁿ. Developed by Isaac Newton, this theorem has been used extensively in the area of probability and statistics. The main argument in this theorem is the use of the combination formula to calculate the desired coefficients.

The question of expanding an equation with two unknown variables called a binomial was posed early in the history of mathematics. One solution, known as Pascal's Triangle, was determined in China as early as the thirteenth century by the mathematician Yang Hui. His solution was independently discovered in Europe 300 years later by Blaise Pascal whose name has been permanently associated with it since. The binomial theorem, a simpler and more efficient solution to the problem, was first suggested by Isaac Newton. He developed the...