Difference Between Permutation and Combination

Knowing the major difference between Permutation and Combination is important as it helps one clarify the definitions of each clearly so that there are no more misunderstandings between them. Permutation can simply be defined as the different ways of arranging some or all members within a specific order. It is the process of legibly arranging from chaos. This is what is termed as a Permutation.

Difference between Permutation and Combination

Combination on the other hand can simply be defined as the method of selecting a group by taking up some or all members of a set. There is no particular order that is used to follow while combining elements of a set. There are a lot of different ways of making up a combination and they are all right in their own ways; as there is no particular method of figuring out a combination the “right” way. Thus, this is defined as a combination. Using the combination formula, one can easily get the combination for any set.

Difference between Permutation and Combination

Permutation

Combination

The different ways of arranging a set of objects into a sequential order are termed as Permutation.

One of the several ways of choosing items from a large set of objects, without considering an order is termed as Combination.

The order is very relevant.

The order is quite irrelevant.

It denotes arrangement of objects.

It does not denote arrangement of objects.

Multiple permutations can be derived from a single combination.

From a single permutation only a single combination can be derived.

They can simply be defined as ordered elements.

They can simply be defined as unordered sets.

Thus, these are the key differences between Permutation and Combination. It is important to understand how they differ from one another. For more information on maths, download the BYJU’s app today! You may also want to check our other math related articles below:

Permutation and Combination worksheets

Combinatorics

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Find the number of non-negative terms of the following sequence: 987, 932, 877,…