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#1 2012-12-10 07:59:20

jacks
Member
Registered: 2012-11-21
Posts: 80

sum of subsets

Consider all

non empty subsets  of the set
.

For every subset we find the product of each of these elements.

Sum of all these products is?

Last edited by jacks (2012-12-10 07:59:38)

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#2 2012-12-10 08:46:45

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,673

Re: sum of subsets

Hi;

I am getting (n+1)! - 1 but I do not know of a proof of that.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#3 2012-12-10 13:20:05

scientia
Member
Registered: 2009-11-13
Posts: 222

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