please solve this question:

Suppose that 3 guests check their coats when they arrive at a restaurant, and that these coats are returned to them in a random order when they leave. Let N be the number of guests who get the right coat (N = 3 all guests get the right coat). By carefully thinking of the different outcomes: a) Find the probability that N = 3 b) Find the probability that N = 2. Are the events "N = 3" and "N = 2" independent? disjoint? Justify. c) Find the probability that N = 1 (don't go too fast!) d) Find the probability that N = 0, using: P(N = 0) = 1 - P(N > 0). (don't go too fast!)