Question

List all possible permutations of 1,2,3,4, taken two at a time.

Answer 1

Permutations are the arrangement of a certain group of numbers where the order matters, for instance, if we arrange (1,2) it'd be considered different from when we arrange (2,1). The number of permutations we can create from a group is given by the following expression:

`p^n`

Where p is the number of elements in the group and n is the number of elements in each permutation. Therefore the number of permutations we will be able to create is:

`4^2\text{ = 16}`

We can write all the possible permutations as shown below:

`\begin{gathered} (1,1)-(1,2)\text{ - (1,3) - (1,4) } \\ (2,1)\text{ - (2,2) -(2,3) - (2,4)} \\ (3,\text{ 1) - (3,2) - (3,3) -(3,4)} \\ (4,1)\text{ - (4,2) - (4,3)}-(4,4) \end{gathered}`