# Re: The seven step series

```m.a. wrote:
> Hi Brent,
>                 I really appreciate the help and I hate to impose on
>
> ----- Original Message -----
> From: "Brent Meeker" <meeke...@dslextreme.com
> <mailto:meeke...@dslextreme.com>>
> Sent: Tuesday, July 21, 2009 5:24 PM
> Subject: Re: The seven step series
>
>  >
>  > Take all strings of length 2
>  > 00             01                   10               11
>  > Make two copies of each
>  > 00      00      01      01      10      10      11      11
>
>  > Add a 0 to the first and a 1 to the second
>  > 000    001      010   011      100   101   110      111
>  > and you have all strings of length 3.
> *I can see where adding 0 to the first and 1 to the second gives 000 and
> 001 and I think I see how you get 010 but the rest of the permutations
> don't seem obvious to me. P-l-e-a-s-e  explain,  Best,*
> **
>
>
>
>        * m. (mathematically hopeless)  a.*```
```
They aren't permutations.  They're just sticking a 0 or 1 on the end.  One copy
of 01 becomes 010 and the other become 011.

Brent

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