Help in these combinatorics questions

Consider the following problem: A pizza parlor offers 5 different toppings for their pizzas: pepperoni, sausage, mushrooms, onions, and peppers. If a customer can choose up to 3 toppings, howr many 3 topping pizzas can be ordered, if a customer may only choose each topping once? [59'9\"] V Does order matter in this situation? [Select] V ls repetition allowed? [59'9\"] V What structure type best characterizes this problem? The answers to the following questions are the same: How many ordered lists of length 2 with entries taken from the set {0,1,2} are there? How many positive factors does 36 have? Select the factors of 36 that the following ordered lists corespond to: [Select] v D' 0 [Select] v D' 2 [Select] v 1' 2 (Hint: link each ordered list 3b to the positive factor 2'3 " 3"b) Consider a set of n distinct objects, and let S be the set of all possible permutations of these objects. Define a relation ~ on S such that two permutations are equivalent if they differ by a transposition of adjacent objects. What is the size of the equivalence class of a given permutation