Product Rule Exercise 3 Calculate and illustrate the following situations using a box model. a) The refrigerator contains 3 different types of bread, 4 different spreads, and 2 different cheeses. How many different cheese sandwiches can be made? b) The educational institution has 136 nursing students and 45 midwifery students. A student representative is chosen for the working group from one nursing student and one midwifery student. How many different options are there?

A florist offers three sizes of flower arrangements containing roses, daisies, and chrysanthemums. Each small arrangement contains one rose, three daisies, and three chrysanthemums. Each medium arrangement contains two roses, four daisies, and six chrysanthemums. Each large arrangement contains four roses, eight daisies, and six chrysanthemums. One day, the florist noted that she used a total of 24 roses, 50 daisies, and 48 chrysanthemums in filling orders for these three types of arrangements. How many arrangements of each type did she make?

In a group of 20 musicians, 12 play piano, 7 play trumpet, and 2 play both piano and trumpet. How many musicians play either piano or trumpet?

A wholesale T-shirt company oilers sizes small, medium, large, and extra-large in organic or non- organic cotton and colors white, black, gray, blue, and red. How many different T-shirts are there to choose from?

Answer the following questions. 5. What is the term for the arrangement that selects r objects from a set of ii objects when the order of the r objects is not important? What is the formula for calculating the number of possible outcomes for this type of arrangement?

A hospital cafeteria offers a fixed-price lunch consisting of a main course, a dessert and a drink. If there are four main courses, three desserts, and six drinks to pick from, in how many ways can a customer select a meal consisting of one choice from each category?

An art store has 4 brands of paint pens in 12 different colors and 3 types of ink. How many paint pens are there to choose from?

A buyer of a new sedan can custom order the car by choosing from 5 different exterior colors, 3 different interior colors, 2 sound systems, 3 motor designs, and either manual or automatic transmission. How many choices does the buyer have?

To allocate annual bonuses, a manager must choose his top four employees and rank them first to fourth. In how many ways can he create the ‘Top- Four” list out of the 32 employees?