Show all necessary work for each problem; your work is part of the grading criteria. Precise usage of language and symbolsotations is part of the grading. 1. (6 points) A local bakery is having a sale on cupcakes. You can choose between either chocolate or vanilla cupcakes. You can also choose strawberry filling, blueberry filling or no filling. Finally, you can choose either chocolate buttercream frosting or strawberry buttercream frosting. How many different cupcakes are possible? lllustrate this with a tree diagram. 4. (4 points) How many ways can 6 books be arranged on a shelf