CALCULUS Understanding Its Concepts and Methods

Factorial, Biomial coefficient, and Pascal's triangle

The number , called factorial, is the product of with all of the positive integers less than . The first few factorials areThe binomial coefficient , pronounced choose , is the quotientand counts the number of ways to pick things from things. The binomial coefficient gets it name from the fact thatThe binomial coefficients can be generated using Pascal's trianglewhere each row begins and ends with , and each number in between is the sum of the two numbers above it.

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

Historical sketch: Blaise Pascal

Table of power series: Binomial series

Copyright © 2006 Darel Hardy, Fred Richman, Carol Walker, Robert Wisner. All rights reserved. Except upon the express prior permission in writing, from the authors, no part of this work may be reproduced, transcribed, stored electronically, or transmitted in any form by any method.