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Math Help - Spacy sets

  1. #1
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    Spacy sets

    Call a set of integers spacy if it contains no more than one out of any three consecutive integers. How many subsets of {1,2,3,4,.....,12} are spacy?

    Could someone please take a look at my attached work



    Vicky.
    Attached Thumbnails Attached Thumbnails Spacy sets-spacynumbers.pdf  
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  2. #2
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    Quote Originally Posted by Vicky1997 View Post
    Call a set of integers spacy if it contains no more than one out of any three consecutive integers. How many subsets of {1,2,3,4,.....,12} are spacy?

    Could someone please take a look at my attached work




    Vicky.
    2007 AMC 12A Problems/Problem 25 - AoPSWiki
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  3. #3
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    Thank you!!!!!!
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