The Jeremy Bentham Piecepack Question

["electronicwaffle" <electronicwaffle@...>]

For some time now, I've wanted an answer to this question, and I get 
a headache trying to figure it out alone. In fact, even posing the 
question to other members in the group let me know how hard the 
question's concept was. I hope anyone can answer this question for 
me.

First off, I assume that we all are familiar with Bentham  and 
Utilitarianism. It will become apparent in a second why this is 
needed.

Be Warned this question is confusing. The question takes on the 
terms that is does for convience and simplicity.

I am speaking of piecepack coins only, from one standard piecepack.

Ethnicity is a suit or a number.

The problem is  

What is the greatest number of coins can each ethnicity have, while 
commiting the least fewest cases of ethnocide, using all coins?
(i.e the greatest good for the greatest number of ethnic groups)

Also, if anyone else understands this question, and can put it in 
simpler terms, please feel free to do so.