I have n sets and k elements with k>n. Each elements has the same probability (1/n) to be inserted in a set. All the elements have to be inserted in one single set.
I need to calculate the probability the difference of number of elements between the fuller set and the emptier one is at least X%.
For example, given 10 sets and 100 elements I need to calculate the probability one sets has at least the 10% of elements more than another.