Permutations questions: I need answers with complete solutions. Question #1: How many license plates in Ontario were registered between the following license plates? As the question is asking for plates between the given ones, you should consider that these plates are NOT included in the range. From: AVVJ 144 To: BVNP 199 Question #2: A spinner has 3 equal sections: coloured red, green, or blue. A player can win a prize if it lands in the same color 3 times in a row. How many possible outcomes are there for 3 spins of the spinner? You must provide the solution for your answer. Question #3: A contestant must select one of three doors to go through and then choose to go up or down a set of stairs. After the stairs, they choose from one of 2 tunnels that take them to their prize. How many different pathways are available for the contestant to follow? Please use a tree diagram in your solution. Thus, your solution requires both a tree diagram AND an equation containing numbers. Question #4: An ice cream parlor offers a special meal package where you get either a hot dog (beef, chicken or veggie) or a hamburger (beef or veggie) with your choice of cone or sundae. WITHOUT considering the flavour of ice cream, nor the type of cone, if chosen, how many different types of meal combos can a customer choose from