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EXAMPLE 2 Use a permutations formula Your band has written 12 songs and plans to record 9 of them for a CD. In how many ways can you arrange the songs.

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Presentation on theme: "EXAMPLE 2 Use a permutations formula Your band has written 12 songs and plans to record 9 of them for a CD. In how many ways can you arrange the songs."— Presentation transcript:

1 EXAMPLE 2 Use a permutations formula Your band has written 12 songs and plans to record 9 of them for a CD. In how many ways can you arrange the songs on the CD? CD Recording SOLUTION To find the number of permutations of 9 songs chosen from 12, find 12 P 9. 12 P 9 = 12 ! (12 – 9)! Permutations formula Subtract. = 12! 3!

2 EXAMPLE 2 Use a permutations formula 12 11 10 9 8 7 6 5 4 3! 3! = Expand factorials. Divide out common factor, 3!. = 79,833,600 Multiply. There are 79,833,600 ways to arrange 9 songs out of 12. ANSWER

3 GUIDED PRACTICE for Example 2 3. WHAT IF? In Example 2, suppose your band has written 15 songs. You will record 9 of them for a CD. In how many ways can you arrange the songs on the CD? There are 1,816,214,400 ways. ANSWER

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