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EXAMPLE 5 Find permutations of n objects taken r at a time Music You are burning a demo CD for your band. Your band has 12 songs stored on your computer.

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Presentation on theme: "EXAMPLE 5 Find permutations of n objects taken r at a time Music You are burning a demo CD for your band. Your band has 12 songs stored on your computer."— Presentation transcript:

1 EXAMPLE 5 Find permutations of n objects taken r at a time Music You are burning a demo CD for your band. Your band has 12 songs stored on your computer. However, you want to put only 4 songs on the demo CD. In how many orders can you burn 4 of the 12 songs onto the CD? SOLUTION Find the number of permutations of 12 objects taken 4 at a time. ( 12 – 4 )! 12 P 4 = 12! = 11,880= 12! 8! 479,001,600 40,320 = ANSWER You can burn 4 of the 12 songs in 11,880 different orders.

2 GUIDED PRACTICE for Example 5 Find the number of permutations. 5P35P3 4. = 60 ANSWER = 4 ANSWER 5. 4P14P1 6. 8P58P5 = 6720 ANSWER

3 GUIDED PRACTICE for Example 5 Find the number of permutations. 7. 12 P 7 = 3,991,680 ANSWER

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