Thank you for your update choroba. I upvoted your post for this (I had not seen your post before the update, but if I had, I would have most probably neither upvoted not downvoted it at the time, I was only expressing a relatively well informed opinion, certainly not a certainty, and there was a possibility that I goofed it completely). I actually made some calculations, but with a number of very rough hypotheses on the letter distribution, my rough initial estimate on the number of unique racks was about 1.7 million, which is why I came up with a couple of million estimate. It seems that the number of possible racks is slightly less 3.2 million, so I was off by almost a factor of 2. But, still, the right order of magnitude, much closer than other estimates. Not too bad, in the end.

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