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This might be basic, but I'm still having a hard time understanding it.
Say 100 pieces of pie has to be distibuted to 100 different plates and the way they are distributed are random. (n=100, r=100)
Then what is the chance of all the pie pieces to be distributed evenly? I know that there are 100^100 (n^r) different ways of them to be distributed total, but don't really know how to find a formula for them not to "collide"