ABSTRACT
The binomial series There are many applications of the binomial theorem in every part of algebra, and in general with permutations, combinations and probability. It is also used in atomic physics where it is used to count s $ {\boldsymbol{s}} $ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781351232876/7c39b375-15cb-4b0b-ad64-16e4787c18a4/content/inline-math21_1.tif"/> , p $ {\boldsymbol{p}} $ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781351232876/7c39b375-15cb-4b0b-ad64-16e4787c18a4/content/inline-math21_2.tif"/> , d $ {\boldsymbol{d}} $ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781351232876/7c39b375-15cb-4b0b-ad64-16e4787c18a4/content/inline-math21_3.tif"/> and f $ {\boldsymbol{f}} $ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781351232876/7c39b375-15cb-4b0b-ad64-16e4787c18a4/content/inline-math21_4.tif"/> orbitals. 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.
