factorial-notation

I introduce the Factorial Notation or symbol. I then work through a number of examples of how to evaluate factorials, and examples of factorials in sequence notation and summation notation.

For all my lessons on Sequences and Series go here:)

http://www.profrobbob.com/pre-calculus/intro-to-sequences-arithmetic-geometric

From Impuhlz: (Thanks)

0! is 1 because you can arrange 0 things in one possible way. You can arrange 1 thing in 1 possible way, which is why 1! = 1. You can arrange 2 things in 2 possible ways, which is why 2! = 2. You can arrange 3 things in 6 possible ways, which is why 3! = 6, ect. It's all about those permutations! Btw I learned this in my programming class, because it's relevant to how many times certain data needs to be checked in order for a program to run, and you run into very slow and inefficient programs when you have a program checking data in the order of n!. Hope I helped anyone confused about why 0! = 1. :)

Check out http://www.ProfRobBob.com, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at http://www.mathplane.com

Tagged under: factorial,symbol,notation,factorials,examples,product,multiplication,0!,tarrou,tarrou',chalk,talk,profrobbob,math,education,algebra,precalculus

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