Let $\displaystyle M(n)=\{-1,\dots, -n\}$. Define the empty product to be $\displaystyle 1$. For every subset of $\displaystyle M(n)$, multiply its elements together and add up the resulting $\displaystyle 2^n$ numbers; what is the result?

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- Mar 19th 2010, 09:39 AMBruno J.An easy problem!
Let $\displaystyle M(n)=\{-1,\dots, -n\}$. Define the empty product to be $\displaystyle 1$. For every subset of $\displaystyle M(n)$, multiply its elements together and add up the resulting $\displaystyle 2^n$ numbers; what is the result?

- Mar 19th 2010, 01:38 PMproscientia
__Spoiler__: - Mar 19th 2010, 03:05 PMBruno J.
Good!

Here's my solution :

__Spoiler__: - Mar 20th 2010, 07:55 AMfunnyname7
Thanks Bruno.