Pascal's Triangle

Blaise Pascal

Quick Info

Born: 19 June 1623, Clermont-Ferrand, Auvergne, France.

Died:  19 August 1662 (aged 39), Paris, France.

Known for:  Pascal’s triangle

                     Pascal’s law

                     Pascal’s rule

                     Pascal’s theorem

                     Pascal’s calculator

                     Pascale’s wager

                     Probability theory

                     Pascal distribution

Introduction

One of the most interesting Numbers patterns is Pascal's triangle (named After Blaise Pascal, a famous Mathematician).
A Formula for any entry in the triangle.

In fact there is a Formula from combinations for working out the value at any place in Pascal's triangle:

It is commonly called "n choose k'' and written like this:

References

1.  Coolidge, J. L. (1949), "The story of the binomial theorem", The American Mathematical Monthly, 56 (3): 147–157, doi:10.2307/2305028, JSTOR 2305028, MR 0028222.