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Math Help - Gulliver and the King

  1. #1
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    Exclamation Sigma

    What does sigma mean I maths
    Last edited by baxteryay; April 28th 2013 at 12:19 PM.
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  2. #2
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    Re: Gulliver and the King

    Hello, baxteryay!

    This is based on a classic problem.

    Answer: his chain had from 8 to 15 links.


    Suppose his chain had 7 links.
    He could cut one link like this: . \subset\!\supset\!\!\!\subset\!\!\supset \;\;\subset\!\supset \;\;\subset\!\!\supset \!\!\!\subset\!\supset \!\!\! \subset\!\supset \!\!\!\subset\!\supset

    Then he can present from 1 to 7 links.

    . . \begin{array}{cc} \text{Number} & \text{Combination} \\ \hline 1 & 1 \\ 2 & 2 \\ 3 & 1+2 \\ 4 & 4 \\ 5 & 1+4 \\ 6 & 2+4 \\ 7 & 1+2+4 \end{array}


    Since he needed two cuts, he had more than 7 links,
    . . up to a maximum of 15 links.

    Suppose his chain had 15 links.
    Again, he would cut the 3rd link . . . and cut the 7th link.
    This gives him four chains with 2, 1, 4, and 8 links.

    Then he can present from 1 to 15 links.
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  3. #3
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    Re: Sigma

    Please do not edit your original post. It makes the thread rather impossible to understand, doesn't it?

    -Dan
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