Mr. Enny has a sweet tooth, so he goes to his neighborhood ice cream shop called Nicholas Creamery. Nicholas offers 15 different flavors of ice cream. Mr. Enny likes all but three of the flavors that Nicholas offers: Mint Oreo, Vegan Mango, and Grapefruit Basil Sorbet 1. A cup comes in three sizes--small, medium, or large-and includes one flavor of ice cream and one of 16 toppings. Mr. Enny has enough money for a small or medium cup. How many different cups could Mr. Enny order that include only flavors that he likes? Show your work. Write a complete sentence, 2. Mr. Enny wants to treat his Probability and Statistics class of 15 students to an end of the year ice cream party. He orders one of each flavor of ice cream from Nicholas. How many different ways are there for him to give out each of the 15 ice cream flavors to his student? Show you work. Write a complete sentence 3. Mr. Enny decides to reward the top student in his class by allowing him or her to get three flavors in their cup. The student must choose three different flavors and the order of the flavors in the cup are important, How many three-scoop cups with three different flavors are possible? Show your work. Write a complete sentence. Give your answer as a number and using P, notation