Activity class distribution based on ranked preference

I have little experience with Numbers, but I was wondering if anyone would be able to let me know if this is possible using Numbers, or any other program:
I work at a summer camp, and every day during each week, the campers (150-250) have an activity class (4 classes throughout the week). At the beginning of each week, the campers fill out a sheet ranking the top 10 activity class he or she would like to do.
What we're looking for is a way to input the information provided be the campers on these sheets, and have the classes distributed for the four days based on the campers preference. One problem is that only a certain number of campers would be allowed in certain classes per day, and some would have a minimum as well.
We have been doing this for several years, and have tried a few different ways of doing it, but it is always difficult and takes a long time. Looking at Numbers, I thought maybe it would be possible to create a more streamlined format, but I don't know. If anyone can let me know if there's a way to speed up this process and make it easier, that would be great. Thanks a lot.
David

Hi David,
More to come, but here's a quick look at a couple of visual items. Would either of these help? Bear in mind that these results are from a random distribution of 7 choices among 15 items, and show results from only 39 'campers.'
This one is simply a chart that shows all the choices made for each activity. The bottom section of each bar (blue) shows the 'number 1' choices, the next section (green) shows the 'number 2' choices, etc.
Chart 2 reduces the number of sections in each bar by grouping choices 1 and 2 (blue), choices 3 and 4 (green).
With 'real' data, differences between the columns would likely be more pronounced. Would either of these help eliminate any activities from consideration?
I'm also looking at a 'low man out' counting system, but while the concept is pretty clear, translating it into Numbers formulas is proving difficult.
More to come...
Regards,
Barry

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Activity class distribution based on ranked preference

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