Minor cleanup
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@ -250,9 +250,10 @@ If we place $A$ and $B$ at opposing vertices, what is the effective resistance o
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There are $\binom{n}{k}$ nodes in the $k^\text{th}$ layer. Each node in this layer has $k$ ones, so
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there are $n - k$ ways to flip a zero to get to the $(k + 1)^\text{th}$ layer. In total, there are
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$\binom{n}{k}(n - k)$ parellel connections from the $k^\text{th}$ layer to the $(k + 1)^\text{th}$
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layer, creating an effective resistance of $(\binom{n}{k}(n - k))^{-1}$.
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\vspace{2mm}
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layer, creating an effective resistance of
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$$
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\frac{1}{\binom{n}{k}(n - k)}
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$$
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The total effective resistance is therefore
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$$
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@ -263,7 +264,7 @@ If we place $A$ and $B$ at opposing vertices, what is the effective resistance o
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To calculate the limit as $n \rightarrow \infty$, note that
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$$
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\binom{n}{k}(n - k) = \frac{n!}{(n - k - 1)! \times k!} = n \binom{n-1}{k}.
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\binom{n}{k}(n - k) = \frac{n!}{(n - k - 1)! \times k!} = n \binom{n-1}{k}
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$$
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So, the sum is
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$$
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