CALCULUS Understanding
Its Concepts and Methods
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
are
The
binomial coefficient
,
pronounced
choose
,
is the
quotient
and
counts the number of ways to pick
things from
things. The binomial coefficient gets it name from the fact
that
The
binomial coefficients can be generated using Pascal's
triangle
where
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.