EXAMPLE 5 Find permutations of n objects taken r at a time Music You are burning a demo CD for your...

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EXAMPLE 5 Find permutations of n objects taken r at a 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 ! 479,001,6 00 40,32 0 = ANSWER can burn 4 of the 12 songs in 11,880 different ord

Transcript of EXAMPLE 5 Find permutations of n objects taken r at a time Music You are burning a demo CD for your...

Page 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.

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 )!12P4 =12!

= 11,880 = 12!8!

479,001,60040,320

=

ANSWER

You can burn 4 of the 12 songs in 11,880 different orders.

Page 2: 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.

GUIDED PRACTICE for Example 5

Find the number of permutations.

5P34.

= 60ANSWER

= 4ANSWER

5. 4P1

6. 8P5

= 6720 ANSWER

Page 3: 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.

GUIDED PRACTICE for Example 5

Find the number of permutations.

7. 12P7

= 3,991,680ANSWER


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