My point is that for the purposes of this exercise, the suit doesn't matter. So, at some point, you'll end up choosing an equivalent hand to one that has already been done. For each combination of ranks, there are a fair number of equivalent hands that differ only in the suits of the individual cards. For this exercise, those hands are equivalent, so there's no point in scoring the second hand if the first hand has already been dealt with. Perhaps I mis-spoke before.
thor
Feel the white light, the light within
Be your own disciple, fan the sparks of will
For all of us waiting, your kingdom will come
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I'm attempting to prove that all hands that have a five have at least two points. That's why suit doesn't matter. Suppose that I had a hand with a 5 whose only points were a flush. Now, change the suit of one of the cards. Blamo! No more points. I maintain that such a hand does not exist. I have written the program that I intended to write (I'll try to post it once I've cleaned it up a bit), and when considering the cards without considering their suit, the minimum score was two points. You're right about your bullet points though...and we've tried to use them in a more elegant "classical" proof. :)
thor
Feel the white light, the light within
Be your own disciple, fan the sparks of will
For all of us waiting, your kingdom will come
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