Got motivation from [this](https://en.wikipedia.org/wiki/Sic_bo) and I'm trying to do this:

```
{#1 , #2 , #3, #1 + #2 + #3}

```

Where `#1, #2, #3` are integer numbers from 1 to 6 and the list is arranged so that the sum is increasing order. So the result is something like this or any resentation showing all different possible results or possibilities of the sum is also good.

```
{1, 1, 1, 3}
{1, 1, 2, 4}
{1, 2, 1, 4}
{2, 1, 1, 4}
{1, 1, 3, 5}
{1, 2, 2, 5}
{1, 3, 1, 5}
{2, 1, 2, 5}
{3, 1, 1, 5}

```

Any idea how to do this?