For this problem, assume 11 males audition, one of them being Miles, 5 females audition, one of them being Barbara, and 6 children audition. The casting director has 3 male roles available, 1 female role available, and 2 child roles available.

(1) How many different ways can these roles be filled from these auditioners? (2) How many different ways can these roles be filled if exactly one of Miles and Barbara gets a part?

(3) What is the probability (if the roles are filled at random) of both Miles and Barbara getting a part?