Assignment:
Use the formula for the number of subsets of a set with n elements to solve the problem.
Q1. Pasta comes with tomato sauce and can be ordered with some , all, or none of these ingredients in the sauce: {onions, garlic, carrots, broccoli,shrimp, mushrooms, zucchini, green pepper}. How many different variations are available for ordering pasta with tomato sauce.
Q2. A village has 4 fire engines. If a radio dispatcher receives a call, depending on the nature of the situation,no engines, one engine, two engines, three engines, or all four engines can be sent to a fire . How many options does the dispatcher have for sending the fire engines to the scene of the caller?
Provide complete and step by step solution for the question and show calculations and use formulas.