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Permutations Objective: Solve problems involving linear permutations of distinct or indistinguishable objects.

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Page 1: Permutations Objective: Solve problems involving linear permutations of distinct or indistinguishable objects

Permutations

Objective: Solve problems involving linear permutations of distinct or

indistinguishable objects.

Page 2: Permutations Objective: Solve problems involving linear permutations of distinct or indistinguishable objects
Page 3: Permutations Objective: Solve problems involving linear permutations of distinct or indistinguishable objects

000,2610101026 625,50252599

000,576,17101026262610

000,025,201010102599

Page 4: Permutations Objective: Solve problems involving linear permutations of distinct or indistinguishable objects
Page 5: Permutations Objective: Solve problems involving linear permutations of distinct or indistinguishable objects

Permutations

Page 6: Permutations Objective: Solve problems involving linear permutations of distinct or indistinguishable objects

Example 1

Page 7: Permutations Objective: Solve problems involving linear permutations of distinct or indistinguishable objects

Example 1

Page 8: Permutations Objective: Solve problems involving linear permutations of distinct or indistinguishable objects

Try This

• How many different ways can the letters in the word objects be arranged?

Page 9: Permutations Objective: Solve problems involving linear permutations of distinct or indistinguishable objects

Try This

• How many different ways can the letters in the word objects be arranged?

50401234567!7

Page 10: Permutations Objective: Solve problems involving linear permutations of distinct or indistinguishable objects
Page 11: Permutations Objective: Solve problems involving linear permutations of distinct or indistinguishable objects
Page 12: Permutations Objective: Solve problems involving linear permutations of distinct or indistinguishable objects

7208910)!310(

!10),(

rnP

Page 13: Permutations Objective: Solve problems involving linear permutations of distinct or indistinguishable objects

Example 2

Page 14: Permutations Objective: Solve problems involving linear permutations of distinct or indistinguishable objects

Example 2

Page 15: Permutations Objective: Solve problems involving linear permutations of distinct or indistinguishable objects

Try This

• Find the number of ways to listen to 4 CDs from a selection of 8 CDs?

Page 16: Permutations Objective: Solve problems involving linear permutations of distinct or indistinguishable objects

Try This

• Find the number of ways to listen to 4 CDs from a selection of 8 CDs?

16801234

12345678

)!48(

!8),(

rnP

Page 17: Permutations Objective: Solve problems involving linear permutations of distinct or indistinguishable objects
Page 18: Permutations Objective: Solve problems involving linear permutations of distinct or indistinguishable objects

Example 3

Page 19: Permutations Objective: Solve problems involving linear permutations of distinct or indistinguishable objects

Example 3

Page 20: Permutations Objective: Solve problems involving linear permutations of distinct or indistinguishable objects

Try This

• In how many ways can T’anna plant 11 colored flowers if 5 are white and the remaining ones are red.

Page 21: Permutations Objective: Solve problems involving linear permutations of distinct or indistinguishable objects

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

Page 22: Permutations Objective: Solve problems involving linear permutations of distinct or indistinguishable objects
Page 23: Permutations Objective: Solve problems involving linear permutations of distinct or indistinguishable objects

Example 4

Page 24: Permutations Objective: Solve problems involving linear permutations of distinct or indistinguishable objects

Example 4

Page 25: Permutations Objective: Solve problems involving linear permutations of distinct or indistinguishable objects

Try This

• In how many ways can seats be chosen for 12 couples on a Ferris wheel that has 12 double seats?

Page 26: Permutations Objective: Solve problems involving linear permutations of distinct or indistinguishable objects

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(

Page 27: Permutations Objective: Solve problems involving linear permutations of distinct or indistinguishable objects
Page 28: Permutations Objective: Solve problems involving linear permutations of distinct or indistinguishable objects

Homework

• Pages 640-641• 9-51 odd