Permutations
Objective: Solve problems involving linear permutations of distinct or
indistinguishable objects.
000,2610101026 625,50252599
000,576,17101026262610
000,025,201010102599
Permutations
Example 1
Example 1
Try This
• How many different ways can the letters in the word objects be arranged?
Try This
• How many different ways can the letters in the word objects be arranged?
50401234567!7
7208910)!310(
!10),(
rnP
Example 2
Example 2
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• Find the number of ways to listen to 4 CDs from a selection of 8 CDs?
Try This
• Find the number of ways to listen to 4 CDs from a selection of 8 CDs?
16801234
12345678
)!48(
!8),(
rnP
Example 3
Example 3
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• In how many ways can T’anna plant 11 colored flowers if 5 are white and the remaining ones are red.
Try This
• In how many ways can T’anna plant 11 colored flowers if 5 are white and the remaining ones are red.
46212345
7891011
!5!6
!11
Example 4
Example 4
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• In how many ways can seats be chosen for 12 couples on a Ferris wheel that has 12 double seats?
Try This
• In how many ways can seats be chosen for 12 couples on a Ferris wheel that has 12 double seats?
800,916,39)!112(
Homework
• Pages 640-641• 9-51 odd