I know how to calculate the probability of throwing the same number in every throw of a dice (die, if you prefer!), and I know how to calculate the probability of throwing a different number in each throw of a dice. But how do I calculate the probability of throwing

*n*different numbers in

*m*throws of a dice?

Just to be clear, it doesn't matter what the numbers are or how many times each number is thrown – so two ones and three twos in five throws will be equivalent to four threes and one four in the same number of throws, for example.

Thanks

Remster