Rework problem 35 from the Chapter 2 review exercises in your text, involving auditioning for a play. For this problem, assume 11 males audition, one of them being Dale, 7 females audition, one of them being Jackie, 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 if exactly one of Dale and Jackie gets a part?

2)What is the probability (if the roles are filled at random) of both Dale and Jackie getting a part?