Hostname: page-component-586b7cd67f-vdxz6 Total loading time: 0 Render date: 2024-12-01T03:20:29.322Z Has data issue: false hasContentIssue false

An Extension of Pascal’s Triangle

Published online by Cambridge University Press:  03 November 2016

Extract

The general term (see Fig. 1) in Pascal’s Triangle may be defined as:

(1a)

where

n and r are positive integers, where n≥r.

is equivalent to the binomial coefficient, and is equal to n!/[r!(n-r)!] (1b)

Type
Research Article
Copyright
Copyright © Mathematical Association 1961

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)