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2000 AMC 10Problem 21P21-25~3 minPrint

If all alligators are ferocious creatures and some creepy crawlers are alligators, which statement(s) must be true?

I. All alligators are creepy crawlers.\textrm{I. All alligators are creepy crawlers.} II. Some ferocious creatures are creepy crawlers.\textrm{II. Some ferocious creatures are creepy crawlers.} III. Some alligators are not creepy crawlers.\textrm{III. Some alligators are not creepy crawlers.}

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.