They definitely are. I think you underestimate how quickly the chances of someone ever having used a specific set of words decrease as you keep adding words to a sentence. There are so many grammatical structures and words that mean the same thing that i really feel like a 52 word sentence is far less likely to have occurred before in that state than a 52 card deck
Sentences aren't randomised exactly like packs of cards, as there are rules for what words can be where, but, especially if you treat those rules as suggestions (which I sometimes do), sentences become extremely likely to be unique significantly faster than packs of cards, so your point still mostly stands.
There's way more than 52 words to choose from, though. An 18-word sequence consisting only of selections from the 5000 most common words has as many possible combinations as a deck of cards. Most of those aren't grammatical of course, but make it a 20-word grammatical sentence from the 10k most common words and you still blow cards out of the water.
3
u/Yardboy 10d ago
Mathematically, every time you randomly shuffle a standard deck of 52 playing cards, odds are that particular combination has never occurred before.