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Video MathXplosion, Ep 46: Can you solve the Three Cups Problem?

TLF ID M024993

Find three cups, place them in a line and turn one cup facing down. Can you get all three cups facing down after making exactly three moves? The one rule is: for every move, two cups must be flipped simultaneously. Since the goal is to get all three cups facing down (an odd number) and you start with one cup facing down (also an odd number), you must turn down an even number of cups (two), because an odd plus an even is an odd.





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  • Name: Australian Broadcasting Corporation
  • Organization: Australian Broadcasting Corporation
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  • Organization: Education Services Australia
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  • Address: VIC, AUSTRALIA
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  • Name: Australian Broadcasting Corporation
  • Organization: Australian Broadcasting Corporation
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  • URL: http://www.abc.net.au
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  • Organisation: Education Services Australia Ltd
  • Address: AUSTRALIA
  • URL: www.esa.edu.au
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