# Where are permutations and combinations used?

**Permutation**is

**used**for lists (order matters) and

**Combination**for groups (order doesn't matter) . Famous joke for the difference is : A “

**combination**lock” should really be called a “

**permutation**lock”. The order you put in the numbers of lock matters.

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Herein, what is permutation and combination with an example?

**Permutation and Combination**. **Permutation** : It is the different arrangements of a given number of elements taken one by one, or some, or all at a time. For **example**, if we have two elements A and B, then there are two possible arrangements, AB and BA.

Likewise, how many ways can 4 numbers be arranged? But **many** of those are the same to us now, because we don't care what order! So, the permutations have 6 times as **many** possibilites. (Another example: **4** things **can** be placed in **4**! = **4** × 3 × 2 × 1 = 24 different **ways**, try it for yourself!)

Likewise, what is the formula of permutation and combination?

**Permutations and combinations**. The number of **permutations** of n objects taken r at a time is determined by the following **formula**: P(n,r)=n! (n−r)!

What is an example of a combination?

A **combination** is a selection of all or part of a set of objects, without regard to the order in which objects are selected. For **example**, suppose we have a set of three letters: A, B, and C. We might ask how many ways we can select 2 letters from that set. Each possible selection would be an **example of a combination**.