Page 170 - Math Course 1 (Book 2)
P. 170

Fundamental Counting Principle





         You can draw a diagram to f nd the number of
         possible cards.                                    Your Turn!


                                blue             H, b      Use a Tree Diagram to Count Outcomes
                                green            H, g       ICE CREAM
         Humorous                                           An ice cream parlor offers a special on one-scoop
                                orange           H, o
                                                            sundaes with one topping. The ice cream parlor has
                                red              H, r       5 different f avors of ice cream and three different
                                                            choices for toppings. How many different sundaes
                                blue             T, b       can be made?

                                green            T, g
         Traditional                                        A. 3
                                orange           T, o       B. 5
                                                            C. 8
                                red               T, r
                                                            D. 15

                                blue             R, b         Answer
                                green            R, g
          Romantic
                                orange           R, o
                                red              R, r



            Answer       There are 12 possible cards.




        Using the Fundamental Counting Principle


            Example                                        Using the Fundamental Counting Principle

                                                            SANDWICHES
         CELL PHONES                                        A sandwich shop offers 4 choices for bread, 5

         A cell phone company offers 3 payment              choices for meat, and 3 choices for cheese. If a
         plans, 4 styles of phones, and 6 decorative        customer can make one choice from each category,
         phone wraps. How many phone options are            how many different sandwiches can be made?
         available?

         Use the Fundamental Counting Principle.            A. 60
                                                            B. 12
         The number     the                                 C. 5
         of types of   number of   the number   the number
          payment     styles of   of decorative   of possible    D. 3
           plans  times  phones  times  wraps  equals  outcomes.

                  3            ×         4     ×    6     =   72
                                                              Answer
                         There are 72 possible phone
            Answer
                                   options.









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