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Ways of distributing money. 
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#1
Dec1811, 06:23 AM

P: 6

I am studying for a statistical physics exam and have been struggling with the statistic parts, especially calculating the number of microstates. I am starting to understand most questions but have no clue how to handle this one.
1. The problem statement, all variables and given/known data We distribute a total of E dollars among a population of N people. The rules are that each person can get a max of 1 dollar and that E < N, find the number of ways this can be done. 2. Relevant equations ? 3. The attempt at a solution W = [itex]\frac{\left(E\times100\right)!}{100!\left(\left(E1\right)\times100\right)!}\times p_{e}[/itex] where [itex]p_{e} = \frac{E}{N}[/itex] the average value received by each person 


#2
Dec1811, 01:20 PM

P: 327

OK, so each person either does or does not get a dollar, and there are E dollars total.
Hmmm... so isn't this exactly the same as selecting a subset of size E from the N people? 


#3
Dec1811, 01:49 PM

P: 6

As far as I'm aware because the question states that each person gets a maximum of 1 dollar the actual amount of money each person receives is counted in cents rather than dollars.



#4
Dec1811, 07:00 PM

P: 327

Ways of distributing money.
To me, "We distribute a total of E dollars" sounds like the unit of distribution is a dollar. But other interpretations are certainly possible.



#5
Dec1911, 02:15 PM

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RGV 


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