  ## Factorial Notation. . . Shown and Explained Factorial Notation . . .

Background - why Factorial Notation symbols are used . . .

Symbols are used as a concise way of giving lengthy instructions

related to numbers and logic.

Math Symbols are a communication tool. Symbols are an invention which is used to eliminate the need to write long, plain language instructions to describe calculations and other processes.

The most valuable, most frequently used Symbols in
mathematics . . .
:

The most important, most frequently used Miscellaneous symbols are listed below.

Miscellaneous Symbols - click description "Top of Page"

The "factorial of n" is the factorial of a positive integer called n. There are no factorials of negative integers.

The "factorial of n" is the product of n, and all the positive integers smaller than n.

The factorial function is written:

n! = n(n-1)(n-2)(n-3) . . . (1)

The factorial of zero is defined as 1.

0! = 1

Factorials are used to calculate:

1. The number of different ways the same items can be arranged (Permutations)

2. The number of different ways to combine groups of objects without regard to order (Combinations).

Example 1:   ! , 6!

6! = (6)(5)(4)(3)(2)(1)

6! = 720