Rework problem 35 from the chapter 2 review exercises in your text, involving auditioning for a play. for this problem, assume 8 males audition, one of them being winston, 6 females audition, one of them being susan, and 5 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 winston and susan gets a part?

(3) what is the probability (if the roles are filled at random) of both winston and susan getting a part?