I Finally figured out how they assigned passengers their cabins in Third Class. I came up with this pattern based on the percent of the passengers each section could hold. What they would do is stamp the section letter in groups of the percentage number that section could hold. Forward, they would place the first 8 in Section B, followed by 9 to Section C, then 11 to Section D, then 10 to Section E, followed by 4 to Section F, 16 to Section G, then repeat it all over again. In the stern, they'd start by sending 2 to section K, then 7 to Section M, 5 to Section O, 11 to Section Q, 11 to Section R, and 7 to Section S. I made up a ticket list of the Third Class passengers from the maiden voyage, took the known cabin numbers, and tried the pattern. It was about 85% accurate. They may do it the same way in Second Class as well, but I'm not sure. Remember, this is only a theory.