this entry about finding the formula to determine the total number of possible relationship configurations for any group of

This is, as many people have observed, essentially the standard "pick

So, in *n*people,**blaisepascal**observed that the sum we came up with did not consider the case where everyone is involved with everyone else, which is something we had intended to include. The previous equation, therefore, has an off-by-one error. The correct form is:This is, as many people have observed, essentially the standard "pick

*r*of*n*permutations" equation, which (had we been thinking along those lines) we likely should've recognized from the start. And, to be fair, one of the more math-geeky among us said something like that early on, but it took much scribbling on many sheets of paper to prove it.- Current Mood:even more geeky

## Comments

swehIf you consider the case of masturbation then the lower limit could be 1.

You don't need the restriction k>=2 since you define n>=2 and k ranges from 2 to n (with my modification) it's automatically restricted. Without my change you have the potential for k ranging from 2 to 1 (if n==2) which doesn't make sense.

james_the_evil1(Anonymous)www.theinnbetween.net/giftshop.html(http://www.theinnbetween.net/giftshop.html)~S

rihannsu_poodlemouserserolynneroadscholarCute shirt idea!! I'm waiting for the tinkertoy shirt to come out personally. I'm a classics kind of person.

(Anonymous)indywindzotmeisterhttp://www.greylabyrinth.com/discussion/viewtopic.php?t=9442

- ZM

vinculaThe bad news (because I'm a bad-news-first-type-person) is that it seems what you have there is wrong (but feel free to correct me, because I'm really curious about your version of the formula and how it came about).

The good news is that what looks like a better choice for the enumeration formula is even scarier, and probably more t-shirt-worthy, if we can get it to

fit.The sad, geeky news is that when I realised the formula didn't enumerate properly, I sat down with my own wad of paper, went through about 30 sides in the space of two weeks (hey, my Copious Free Time is pretty limited), researched things a bit, and, er, wrote it all up. Yes, I'm sad. You can get the write-up here.

eteslatacit