Discrete - combination, probability and permutation

Problem 2: Combinatorics (50 pts) Question (a): Real life quantities (35 pts) Read the following sentences carefully and compute the requested quantities on the line that is drawn for you after every sentence. Your answer should be an integer. You do not have to justify your answer. (i) Jason has to build his lunch for the day. He's interested in building a sandwich His choices for building his sandwich are: . Country White or Pumpernickel for his bread Cucumbers, Spinach or Lettuce for his greens o Mayo for his condiments Turkey, bologna, salami or nothing for his meats . Eggs or sliced tomatoes to spruce the sandwich up Note that only one of the various options can be used. For example, we would not build a sandwich with two different kinds of greens or two different meats: only one of the options is possible. How many different lunches can Jason make? (ii) Suppose now that Jason could build a sandwich or create a salad forhis lunch (but not both). His sandwich ingredient options are the same as above. His options for the salad include: Spinach or Lettuce for his greens Ranch, Italian or Thousand Island dressing Feta, blue cheese, cheddar or picorino for his cheese Problem 2: Combinatorics (50 pts) Question (a): Real life quantities (35 pts) Read the following sentences carefully and compute the requested quantities on the line that is drawn for you after every sentence. Your answer should be an integer. You do not have to justify your answer. (i) Jason has to build his lunch for the day. He's interested in building a sandwich His choices for building his sandwich are: . Country White or Pumpernickel for his bread Cucumbers, Spinach or Lettuce for his greens o Mayo for his condiments Turkey, bologna, salami or nothing for his meats . Eggs or sliced tomatoes to spruce the sandwich up Note that only one of the various options can be used. For example, we would not build a sandwich with two different kinds of greens or two different meats: only one of the options is possible. How many different lunches can Jason make? (ii) Suppose now that Jason could build a sandwich or create a salad forhis lunch (but not both). His sandwich ingredient options are the same as above. His options for the salad include: Spinach or Lettuce for his greens Ranch, Italian or Thousand Island dressing Feta, blue cheese, cheddar or picorino for his cheese