Difference Between Permutation and Combination
Differences between permutation and combination can be understood by the following table:
Permutation | Combination |
---|---|
In Permutation order of arrangement is important. For example, AB and BA are different combinations. | In Combination order of arrangement is not important. For example, AB and BA are the same combinations. |
A permutation is used when different kinds of things are to be sorted or arranged. | Combinations are used when the same kind of things are to be sorted. |
Permutation of two things out of three given things a, b, c is ab, ba, bc, cb, ac, ca. | the combination of two things from three given things a, b, c is ab, bc, ca. |
Formula for permuation is: n Pr = n!/(n – r)! | The formula for Combination is: n Cr = n! /{r! × (n – r)!} |
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Permutations and Combinations
Permutation and Combination are the most fundamental concepts in mathematics and with these concepts, a new branch of mathematics is introduced to students i.e., combinatorics. Permutation and Combination are the ways to arrange a group of objects by selecting them in a specific order and forming their subsets.
To arrange groups of data in a specific order permutation and combination formulas are used. Selecting the data or objects from a certain group is said to be permutation, whereas the order in which they are arranged is called a combination.
In this article we will study the concept of Permutation and Combination and their formulas, using these to solve many sample problems as well.
Table of Content
- Permutation Meaning
- Combination Meaning
- Derivation of Permutation and Combination Formulas
- Difference Between Permutation and Combination
- Solved Examples on Permutation and Combination