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Checkers pieces math

  1. Sep 16, 2013 #1
    I have a book called "Tricky math" or something along those lines (not in English) with interesting problems.

    There are 6 checkers pieces, 3 white and 3 black.
    You have a line with 10 slots numbered 1, 2, 3 .. 10.
    The pieces are placed in slots 5, 6, 7, 8, 9, 10 such that 5 is white, 6 black, 7 white, 8 black, 9 white and 10 black.

    We are to rearrange the pieces in 3 moves such that all the white pieces are on the left and all the black pieces on the right. We are allowed to only move 2 adjacent pieces at a time Without rearranging their order. Adjacent according to slot numbers, which means not allowed to move, say 6 and 9 if 7 and 8 were empty.
    Last edited: Sep 16, 2013
  2. jcsd
  3. Sep 16, 2013 #2


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    Luckily this is not too tricky. Solutions to questions like this one usually have a symmetrical structure. This puzzle is no exception. The last two moves mirror each other.
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