You are the casting director for a local production of the play Rent. There are six distinct parts available, but you have nineteen volunteers. In how many different ways can this play be cast?

If P(A) = 0.52, P(B) = 0.45 and P(A u B) = 0.76, then P(B | A) = (Enter a number between 0 and 1, using two decimal points)

Mrs. Wilson has decided to buy a Chevrolet Caprice or a Buick Roadmaster. She has narrowed down the choices to silver metallic, white, or dark cherry metallic, and to interior colors to grey or red. How many different selections of these models and colors are possible?

The security department at six employees. Four of them won’t have to work on Thanksgiving day. How many different ways can the supervisors elect for employees who won’t have to work on Thanksgiving day?

There are 4 men and 7 women auditioning to be in the school play. Answer the following questions: 1. If the cast consists of 2 women and 2 men, how many different casts can be selected? 2. If the cast consists of 2 women or 2 men, how many different casts can be selected?

A choreographer is working with 15 dancers for a new Broadway musical.  For one routine, the choreographer needs one dancer for the role of Wizard, three dancers to be Evil Trolls (there is no difference between the Trolls), and two people to dance as Magical Unicorns (there is no difference between the Unicorns.) No one can dance more than one role in this routine. How many ways can the choreographer cast the roles?

In her last semester at SPC, Polly Hedron needs to take Statistics, Composition 2, and Ethics.  Because Polly is registering early, she has 13 choices for her section of Statistics, 15 choices for her section of Composition, and 20 choices for her section of Ethics.  From how many possible schedules can Polly choose?

A pizza restaurant is offering a promotion in which you can order a large pizza and your choice of a side or a bottle of soda (but not both a side and a bottle of soda).  There are 5 pizza choices, 7 sides, and 11 kinds of soda.  How many options are there with this promotion?

For dinner there are two choices of fish (salmon and haddock), three choices of rice (brown, jasmine, or pilaf), and four types of vegetables.  How many different meals can be made with one fish, one rice, and one vegetable?

It’s the first day of summer camp, and the counselors are trying to figure out where one of the campers will sleep. There are four beds available in Cabin #1, five in Cabin #2, and just one in Cabin #3. How many ways in all are there to assign the camper to a bed?