In Exercises 1-14, state whether each statement is true or false. If false, give a reason. 1. The set of stores located in the state of Wyoming is a well- defined set. 2. The set of the three best songs is a well-defined set. 3. maple = {oak, elm, maple, sycamore} 4{} cơ 5. {3, 6, 9, 12,...} and {2, 4, 6, 8, ...} are disjoint sets. 6. {Mercury, Venus, Earth, Mars} is an example of a set in roster form. 7. {candle, picture, lamp} = {picture, chair, lamp } 8. {apple, orange, banana, pear} is equivalent to {tomato, corn, spinach, radish}.

A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in the front and 3 in the back a. How many arrangements are possible with no restrictions? b. How many arrangements are possible if the parents must sit in the front? C. How many arrangements are possible if the parents must be next to each other?

(a) What is a combination of r elements of a set? How many combinations are there of n elements taken r at a time? (b) How many subsets does a set with n elements have? (c) A pizza parlor offers ten different toppings. How many three-topping pizzas are possible? How many pizzas are possible?

How many subsets does the set 1,3,5,...,99 have?