Algorithm for seating groups of people?

Question

I'm interested in writing an application that can determine how to seat groups of 2-10 people at tables that can hold 10 people. There will probably be about 15 tables and 140 people total. I don't want to break up any of the groups of people.

It seems like it might be a common problem and I was wondering if anyone had any suggestions on where I should start to look for a solution to this. Any links or suggestions appreciated.

Answer 1

This is the bin packing problem.

Answer 2

This is just a variation on the standard "Knapsack problem"