Combinations and permutations

This question follows on from the four dice question.... Four dice are rolled, what is the probability of obtaining

(i) A six, a five, a four, a three

*I'm trying to use the n_C_k (binomial coefficients) and not exhaustive methods. I have an idea as to the answer but want an answer laid out as *

*P= *__n(Event)__

* n(Sample space)*

*Thanks.*

*p.s. this is for a recap on basic probability for a statistical physics course. Cheers.*

*Also, another question - A child distributes eight identical marbles between three different boxes, how many distinguishably different arrangements are there?*

*Thanks.*