I'm trying to figure out how to calculate probabilities with dice. Suppose I had 10 dice, each with 6 sides, and I added the value of each die. How can I calculate the probability of getting an added sum of 33, or any other number? I know how to calculate the probability of getting that 33 through one specific set of rolls, but there are many many ways of getting a 33. Another thing, is there a difference between using permutations and combinations in this case? I plan on writing a computer program to calculate all of this, so any ideas that would take a crazy amount of processing power are still good ideas.