posted by Amelia .
assume 8 males audition,
one of them being Miles, 6 females audition,
one of them being Jackie, and 4 children audition.
The casting director has 3 male roles available,
1 female role available,
and 2 child roles available.
How many different ways can these roles be filled if exactly one
of Miles and Jackie gets a part?
What is the probability (if the roles are filled at random) of both
Miles and Jackie getting a part?
I know the total ways the parts can be filled is 24192