3 identical objects are randomly thrown into 5 similar boxes, what is the probability that at least one box has more than 2 objects. If I am not wrong, this is the case of indistinguishable objects and indistinguishable boxes. My work is the following:
$$P(X=2) = (1/5)^2 (4/5)$$ $$P(X=3) = (1/5)^3$$
I omitted the use of combinations because all the boxes are identical. However, the addition of the two probabilities isn't the correct answer. I would appreciate it if someone could tell me where I went wrong and how to approach it.