Page 175 - Math Course 1 (Book 2)
P. 175

Permutations and Combinations




                                                                  Real World Example
                Your Turn!

                                                                   VOLLEYBALL
                Use a Permutation                                  The teams listed are playing in a volleyball
                                                                   tournament.  If each team plays every other team
                 TRACK AND FIELD                                   once, what is the probability that the Lions play in
                 How many ways can f ve runners be arranged on a     the f rst game?
                 three-person relay team?
                                                                           Huskers              Broncos
                 A. 10                                                     Gators                Waves
                 B. 30                                                    Cougars              Red Storm
                 C. 60                                                    Wild Cats              Lions
                 D. 120
                                                                           Badgers             Bearcats

                   Answer                                             1
                                                                   A.
                                                                      90
                 How many six-digit numbers can be made from
                 the digits 1, 2, 3, 4, 5, and 6 if each digit is used only     B.   1
                 once?                                                45

                                                                      1
                 A. 6                                              C.   10
                 B. 720
                 C. 7776                                              1
                 D. 46,656                                         D.   5

                   Answer

                                                                     Answer



                Use a Combination

                 BOOKS
                 How many ways can two shirts be selected from a
                 display having a red shirt, a blue shirt, a green shirt,
                 and a white shirt?

                 A. 4
                 B. 6
                 C. 12
                 D. 24

                   Answer

                 SHIRTS
                 How many ways can a student select 2 books from
                 a bookshelf containing a mystery, a biography, a
                 non-f ction book, a fantasy book, and a novel?


                 A. 10
                 B. 20
                 C. 60
                 D. 120
                   Answer

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