Tenek comments on Harry Potter and the Methods of Rationality discussion thread, part 17, chapter 86 - Less Wrong

9 Post author: Alsadius 17 December 2012 07:19AM

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Comment author: Unnamed 18 December 2012 11:13:23PM 4 points [-]

"Well, there must've been some sort of love triangle," said a second-year witch named Samantha Crowley (she never answered when asked if there was any relation). "The question is, which ways was it going before it all went wrong? Who was in love with who - and whether or not that person loved them back - I don't know how many possibilities there are -"

"Sixty-four," said Sarah Varyabil, a blossoming beauty who probably should've been Sorted into Ravenclaw or Hufflepuff instead. "No, wait, that's wrong. I mean, if nobody loved Malfoy and Malfoy didn't love anyone then he wouldn't really be part of the love triangle... this is going to take Arithmancy, could you all wait two minutes?"

Svsgl-sbhe.

Comment author: Tenek 19 December 2012 05:02:15PM 3 points [-]

Makes sense. Six possible one-directional (A loves B, B loves A, etc) relationships that can be either present or not, so 2^6 = 64. Each person has 3 graphs where they're disconnected but the others are not (A loves B, B loves A, A and B love each other), and one where there are no connections at all. 64 - 3*3 - 1 = 54.