To begin with I know there is a similar question asked and answered, but it is not what exactly i was trying to find (or at least it was only partially answered there) the question that i refer to is: Probability of number of unique numbers in $37$ Roulette Wheel spins.
I would like it if someone could tell me how to find the probability of $1$ unique number coming up in $37$ spins, $2$ unique numbers coming up in $37$ spins and $3,4 \dots 36,37$ unique numbers in $37$ spins.
I know there is a type explained in the mentioned question above that shows how to calculate the probability of unique numbers. The probability of unique numbers.
My problem is I don't have that much experience or knowledge with such advanced statistics, and I can't understand how the type can be translated into numbers for calculation and result. So my actual question is: how can I turn this type into calculations? This would enable me to find all the probabilities I want alone, without asking for further help. I would just like to know how this type turns into the result: 2157142399433325078661979618737564774321235951616000000000
If I can get there I can divide it easily with $37^{37}$ to get the probabilities.
Thanks for any replies in advance. :/
