A Factorials Guide [Math, Algebra]
Hello. This short post is on factorials. (Prerequisites: Multiplication, Division and Fractions)
To start, here are a few examples of factorials.
As you can see, a factorial is a nice and compact way of expressing the multiplication of descending positive whole numbers (n = 1, 2, 3, ...). The exclamation mark does not mean that the number is screaming or yelling at you.
With factorials, the general case is:
An alternative version of factorials is in ascending order:
Special factorial cases include 1! = 1 and 0! = 1.
Division With Factorials
You may encounter fractions with factorials in the numerator and in the denominator. Here are some examples.
Example One
Example Two
Example Three
Practice Problems
I have these practice problems all in one image file (Credit to QuickLaTeX.com).
Solutions
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