ABSTRACT
This chapter describes a binomial expression, use Pascal's triangle to expand a binomial expression. There are many applications of the binomial theorem in every part of algebra, and in general with permutations, combinations and probability. There are applications of the binomial series in financial mathematics to determine the number of stock price paths that leads to a particular stock price at maturity. A binomial expression is one which contains two terms connected by a plus or minus sign. The binomial series or binomial theorem is a formula for raising a binomial expression to any power without lengthy multiplication. Binomial expansions may be used for numerical approximations, for calculations with small variations and in probability theory.
