1. Permutations A CD has nine songs. In how many different orders could you play these songs? COURSE 3 LESSON 11-2 Simplify. 9! = 9 8 7 6 5 4 3 2 1 = 362,880 The songs can be played in 362,880 different orders or permutations. 11-2

2. Permutations Simplify 11 P 5. COURSE 3 LESSON 11-2 11 P 5 = 11 10 9 8 7 Write the notation as a product of 5 factors, starting with 11. = 55,440Simplify. There are 55,440 permutations of 11 items chosen 5 at a time. 11-2

3. Permutations COURSE 3 LESSON 11-2 In a spelling contest, trophies are given for first, second, and third places. There are 15 finalists in the contest. How many different arrangements are possible for the winners of the trophies? Use a calculator. Enter 3. The display shows 2730. There are 2,730 arrangements for the three winners. Enter 15. Find the menu. Select n P r. 11-2

4. Permutations 1.In how many different ways can you line up a half dollar, quarter, dime, nickel, and penny? 2.A CD has 11 songs. Find in how many orders you can play the songs. 3.Simplify 10 P 3. 720 120 COURSE 3 LESSON 11-2 39,916,800 11-2