Permutation Examples

Let’s consider another example of permutation if you have a set of three distinct elements: A, B, and C, them all possible permutations are:

ABC ACB BAC BCA CAB CBA

Permutation Examples in Real Life

Some real-life examples of Permutation include password generation, seating arrangement, shuffling cards, phone numbers, lock combination, etc. Some of the real-life examples representing permutations are illustrated in the following image added below,

Permutation

Permutation in mathematics is the arrangement of the object in a definite order. Permutation is similar to the combination and the basic difference between permutation and combination is that in permutation the order in which the object is taken is important while the combination is the arrangement of the objects when the order of the objects is not important.

Permutation is represented by the letter, P. For example permuation of set A = {1, 2, 3} when taken two object at a time is, {1, 2}, {1, 3}, {2, 3}, {3, 2}, {3, 1}, {2, 1}. In this article, we will learn about, permutation, its formula, examples, representation, properties, and types of permutation in detail.

Table of Content

  • What is a Permutation?
    • Permutation Meaning in Maths
  • Representation of Permutation
  • Permutation Examples
    • Permutation Examples in Real Life
  • Properties of Permutations
  • Permutation Formula ( nPr )
    • Derivation of Permutation Formula
  • Types of Permutation
  • Permutation and Combination
    • Relation Between nPr and nCr
  • Permutation vs Combination
  • Fundamental Counting Principle
  • Permutation and Combinations Class 11
    • Resources related to Permutations Class 11
  • Permutation Problems
  • Practice Problems on Permutation

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What is a Permutation?

Permutation is defined as a mathematical concept that determines the number of possible arrangements for a specific set of elements. Simply put, it represents the different ways in which data can be ordered, typically taken from a list....

Representation of Permutation

There are various different representations of permutation, which mean the same thing. Some of the most common permutation representations or notations are as follows:...

Permutation Examples

Let’s consider another example of permutation if you have a set of three distinct elements: A, B, and C, them all possible permutations are:...

Properties of Permutations

Some of the common properties of permutations are listed as follows:...

Permutation Formula ( nPr )

The formula for Permutation is given as follows,...

Types of Permutation

In the study of permutation, there are some cases such as:...

Permutation and Combination

Permutation and Combination are the two most fundamental concepts in combinatorics, as these lay the foundation of this branch of mathematics. Combinatorics deals with all the mathematics which we need to solve problems based on selection, arrangement, and operation within a finite or discrete system....

Permutation vs Combination

The key differences between permutation and combination, some of those differences are listed as follows:...

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Fundamental principle of the counting states that, “To perform a operation if we have m ways and to perform second operation if we have n different ways then to perform both the operation together there are m × n different ways.”...

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Permutation Problems

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FAQs on Permutation

What Does a Permutation Mean?...