A correct answer I read through was very similar and I tried rewriting it in a 
way that was more intuitive to me.

I tried to build a probability of the choices by multiplying the probability of 
the chance you saw k for each k and the probability it was that combination of 
numbers (taking into account duplicate arrangements basically n! / n2! / n3! / 
n4! ... etc

That doesn't pass for some reason, but intuitively I would expect more probable 
choices to have higher probability of happening.

Then I tried simply summing them thinking maybe the value is too small to 
compare. But still wrong answer.

The solution I looked at summed the log of the count. It works but I can't 
explain why. Because I would expect this just to be another way to do the same 
thing we both tried.

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