1. You go to a store to get ice-cream. There are five types of cones, three types of ice-cream, and six kinds of toppings. You must choose a cone, a type of ice-cream, and exactly one topping. What is the number of possible choices?
2. Eight students line up for a photograph. Two of the students are identically dressed twins and three are identically dressed triplets. The twins will be indistinguishable and the triplets will be indistinguishable in the photograph. The remaining three people look different. How many different photographs can be taken?
3. You are to select two groups from a class of 30 students: a group of five students and a group of three students. Students can be in at most one group at a time. How many different ways can you select the two groups if all students who are selected are selected simultaneously?
4. You are to make a bouquet with six flowers. You have 12 kinds of flowers and can use as many of each as you like in the bouquet. How many bouquets can you make?