I have 75 rings (leg bands) to be distributed somehow among 20 pigeons. When all rings are distributed and attached, I will put the pigeons into pigeonholes labeled 0, 1, 2, 3, and so on, with each pigeon going into the pigeonhole labeled with the number of rings it is wearing. What is the
smallest number of pigeons there could be in the most crowded pigeonhole?
google is your friend. You might start here:
fac-staff.seattleu.edu/nirmalag/web/mpmathclub/6thMIC2012Cind.pdf