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

Try This

• 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

Try This

• 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

Try This

• 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