128 or 96 bit integer types?

[mensanator at aol.com]

On Jul 29, 11:35 pm, Tim Roberts <t... at probo.com> wrote:
> John DeRosa <stug... at qwest.net> wrote:
> >On Sat, 28 Jul 2007 00:19:02 -0700, "mensana... at aol.com"
> ><mensana... at aol.com> wrote:
>
> >>For example, how many ways can you put 492 marbles into
> >>264 ordered bins such that each bin has at least 1 marble?
>
> >>The answer
>
> >>66189415264331559482776409694993032407028709677550
> >>59629130019289014193777349831417543311612293951363
> >>4124491233746912456893016976209252459301489030
>
> >You missed that blue one in the corner...

Actually, the blue one in the corner wasn't missed, it was
deliberately omitted. When you add the restriction that each
bin must contain at least one marble, the number of partitions
of depth items into width bins is comb(depth-1,width-1).

So comb(491,263) IS, in fact, the correct answer even though
the marble count seems to be wanting.

>
> He lost that one to a talented 12-year-old with a keen eye and a
> well-balanced steelie...
> --
> Tim Roberts, t... at probo.com
> Providenza & Boekelheide, Inc.