in reply to unordered sets of N elements

Answering the next logical question, you can calculate the probability of particular dice rolls using the multinomial distribution. For x1 1's, ... x6 6's, where  x1+x2+x3+x4+x5+x6 = 6, the probability is
Prob( x1, x2, x3, x4, x5, x6) = (6! / (x1! * x2! * x3! * x4! * x5! * x6!)) * 6**(-6)

-Mark