Hi ! I need help on a question that I'm stuck with, and I have no idea how to prove the result ^^' It would really help me if you guys could show me how to solve it :D
So, there is the question :
Let n be a natural number greater than 0.
We have in our possesion n balls, numbered from 1 to n.
We place them randomly in a box that has n spots, and we can put between 0 and n balls in each spot.
How many ways to put all the balls in this box exist ?
I know the answer is n^n, but I have no idea of how to prove it...