I have a pigeon hole principle question that I'm stuck on and would appreciate some help.
10 balls are labelled between 1 and 10. The balls are partitioned amongst 5 people. Prove that no matter how the balls are partitioned there will be at least one person that holds balls with values that add up to 11 or more. Use the pigeon hole principle.
I'm having trouble determining what the pigeon holes and pigeons would represent in this case.