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Consider a version of the division method in which $h(k) =k$ $mod$ $m$, where $m = 2^p-1$ and $k$ is a character string interpreted in $radix$ $2^p$. Show that if we can derive string $x$ from string $y$ by permuting its characters, then $x$ and $y$ hash to the same value. Give an example of an application in which this property would be undesirable in a hash function.

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