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.