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Subject: RE: Prob/Stats brain twister. Can anyone figure this out?
Maybe a more interesting question would be what's the longest sentence someone could make without using a comma, colon or semicolon?
Otherwise, one could consider sentences like: "The list of all possible lists of english words is as follows "apple","apple,aardvark","apple,aardvark,apple"..."
It should be pretty clear that there are an infinite number of sentences of that form.
If we go with the exclusion I put above then we would get sentences of the form
With modifiers, I could see the standard sentence being as many as 20 words long.
Let's say that there are 100,000 english words.
(10^5)^20=10^100 sentences. This is probably an overestimation though as you can't use every word as every part of speech. Assuming that each spot only has about 20% of all words available to it, then you get
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