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Factorial Notation




 
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The expression 6 × 5 × 4 × 3 × 2 × 1 = can be written as 6!, which is read as “six factorial.”

In general, n! is the product of all the counting numbers beginning with n and counting backwards to 1. We define 0! to be 1.

Example :

Find the value of each expression:

a) 3!

b) 0!

c) 5!

d) 1!

e) 3! + 2!

f)

Solution:

a) 3! = 3 × 2 × 1 = 6

b) 0! = 1

c) 5! = 5 × 4 × 3 × 2 × 1 = 120

d) 1! = 1

e) 3! + 2! = (3 × 2 × 1) + (2 × 1) = 8

f)



The following video gives same basic information on factorials and shows how to evaluate some factorial examples.




Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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