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1 . Tree Diagrams vanilla) and 3 sauces (chocolate. caramel, and strawberry). b. Extend your tree diagram to include the option of requesting sprinkles, and determine the new number of sundaes. 2. Your family Is consrden'ng purchasing a new car. The dealer has given a list of choices that need to be made. The interior may be made of cloth or leather and comes in tan, gray. or black. The vehicle is available as standard or automatic. Your family must also decide if air conditioning is needed. a. Illustrate the situation using a tree diagram. b. Determine the number of different vehicles available. c. Use the fundamental counting principles to conrm your answer to b). 3. A student needs to seiect a writing utensil from their pencil case to take down a very Important note on the three measures of central tendency. They have 6 different pens and 4 different pencils. a. How many different writing utensils might that student use to take the note? in. This particular student is extremely meticulous. They use a pen for denitions and pencil for examples. How many different combinations of writing utensils might they use now? 4. A golfer has T shirts, 6 pairs of shoes, 15 pairs of socks, and 5 pairs of pants. How many different outts can he wear? 5. A new restaurant has opened in your neighbourhood which offers a combo meal platter. You can choose from soup, Cesar salad, house salad, bruschetta or garlic bread. You then choose from 7 entrees and 5 scrumptious deserts. How many different combos might the waitress have to write down? 6. Your schools soccer coach will be outtting the soccer team with warm ups, The team has a choice of black or red warm ups in either a Windbreaker or a eece material. They then need to choose from 4 logos. How many different warm up outts could they purchase? 7. A data management quiz on counting techniques consisting of 8 multiple choice questions, each with 5 answers. How many different possible answers could be given to this quiz? 8. A female tennis star has 25 tennis skirts, 42 tennis tops, 19 tennis shorts. and 30 tennis dresses. a. How many different outts could she wear to a match