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**brokenlugs** Wow, thank you very much!! This is what I was looking for! I wasn't even close to that. For a more general result, i.e. an experiment with *j* equiprobable possible results, I guess I just have to replace the *6* for a *j* and the *5* for a *j-1*. Am I wrong?

I meant that if I had to determine the probability of getting a 1 twice, a 2 three times, a 3 once, and so on (whichever combination I want), I could do that with a multinomial distribution, but looks like I was really far from getting a feasible result.

Just for curiosity, is that formula the probability mass function of any known distribution? Does it have any name? I am that kind of person that likes to understand everything, but looks like this formula may be out of my possibilities.