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Let $S = \{2^0,2^1,2^2,\ldots,2^{10}\}$. Consider all possible positive differences of pairs of elements of $S$. Let $N$ be the sum of all of these differences. Find $N.$

 Mar 10, 2021
 #1
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The sum of all difference is 17,496.

 Mar 10, 2021
 #2
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Thank you for answering, however the correct answer is 16398.

Guest Mar 10, 2021

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