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 A counting problem
05-08-2010, 04:32 PM
Post: #1
 elim Moderator Posts: 578 Joined: Feb 2010 Reputation: 0
A counting problem
For any non-empty subset $A$ of $\{1, 2, \ldots , n\}$ define $f(A)$ as the largest element of $A$ minus the smallest element of $A$. Find $\sum f(A)$ where the sum is taken over all non-empty subsets of $\{1, 2, \ldots , n\}$.
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