1. A consulting engineer agrees to spend three days at Widgets International, four days at Gadgets Unlimited, and three days at Doodads Incorporated in the next two workweeks. In how many different ways can she schedule her consultations?
2. A set of books can be arranged on a bookshelf in 120 different ways. How many books are in the set?
3. How many batting orders are possible in a nine-member baseball team if the catcher must bat fourth and the pitcher last?