# Permutations

## The number of arrangements when order matters

Levels are CK-12's student achievement levels.
Basic Students matched to this level have a partial mastery of prerequisite knowledge and skills fundamental for proficient work.
At Grade (Proficient) Students matched to this level have demonstrated competency over challenging subject matter, including subject matter knowledge, application of such knowledge to real-world situations, and analytical skills appropriate to subject matter.
Advanced Students matched to this level are ready for material that requires superior performance and mastery.

## Permutations

Given a set, learn how to calculate its number of permutations.
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## Permutations

Learn about permutations and how to find all possible permutations.
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## Permutations

Find out how to distinguish a set of events that are permutations.
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## Define and Apply Permutations and Factorials

This lesson covers how to define and use factorials to determine the number of permutations or arrangements of objects.
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## Recognizing Permutations

Learn to recognize permutations in situations where order is important.
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## Permutations

Given a set, learn how to calculate its number of permutations.
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## Permutations

Learn about permutations and how to find all possible permutations.
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• PLIX

## Permutations: Podiums

Permutations Interactive
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• Video

## Permutations: A Sample Application

This video demonstrates a sample use of permutations.
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• Video

## Permutations: An Explanation of the Concept

This video provides an explanation of the concept of permutations.
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• Real World Application

Find out why you can increase the security of your password by making it more complex.
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• Real World Application

## Top Secret Codes

Discover how Germany used permutations to send encrypted messages during World War II and how the code was eventually cracked.
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• Real World Application