Overview

binomial coefficient


Show Summary Details

Quick Reference

The coefficient of a power of x in the binomial expansion of (1+x)n. The general binomial coefficient is defined, for any value of n and for any positive integer r, by . By convention, . Suppose now that n is a non-negative integer. In this case is an integer and . Furthermore,. If rn then is also written as nCr (see combination) and . The phrase ‘binomial coefficient’ appears in English in a mathematics text of 1876.

Subjects: Mathematics.


Reference entries

Users without a subscription are not able to see the full content. Please, subscribe or login to access all content.