# Math

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