HMMT November 2011 U16
- Guts
- Answer
A small fish is holding 17 cards, labeled 1 through 17 , which he shuffles into a random order. Then, he notices that although the cards are not currently sorted in ascending order, he can sort them into ascending order by removing one card and putting it back in a different position (at the beginning, between some two cards, or at the end). In how many possible orders could his cards currently be?
Dataset text NuminaMath olympiads. Quoted with source.
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256
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