EXAMPLE 5 Find permutations of n objects taken r at a time Music You are burning a demo CD for your...
3
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
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Transcript of EXAMPLE 5 Find permutations of n objects taken r at a time Music You are burning a demo CD for your...
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.
GUIDED PRACTICE for Example 5
Find the number of permutations.
5P34.
= 60ANSWER
= 4ANSWER
5. 4P1
6. 8P5
= 6720 ANSWER
GUIDED PRACTICE for Example 5
Find the number of permutations.
7. 12P7
= 3,991,680ANSWER
