Sinscerly, I think your first answer was correct. The formula is ! (factorial) and I got (for 38 expansions) 52,300,226,174,666,012^28. In other words, the combinations are near-infinite.The list below is missing The River I, The River II, Darmstadt, and five separate Spiel tiles. And Halflings I and Corn Circles I are definitely both different expansions, albeit ones with the same rules, so those get added too. Total expansions are thus 46, giving us a grand total of 5,502,622,159,812,089^42 combinations. Just a bit more.
The figure I come up with, rounded, is 275 billion. If two more expansions were added, options suggested by Sinscerly and Whaleyland, this would bring the figure to approx. 1.1 trillion (or exactly 1 terabyte of game combinations).
Well there are to many in worst case you use all 38 expansions and in the minimal case you use 1Note, not counting expansions of the same expansion. So not twice Crop Circles in ONE game.So 38, for one.So 38 * 37 for twoSo 38 * 37 * 36 for threeext...So 38 * 37 * 36 * 35 * 34 .... * 2 * 1Now count all up and you will come to the answer, I know there is a formula for this, but I cann't remember
base game + 1 large expansion + 2 minis (just one mini on 2 player game)
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