Section PC.6 Solutions to the Practice Problems

1. 60 outfits

2. 96 outfits

3. 450 outfits

4. 48 meals

5. 480 one-topping pizzas

6. 67,600,000 license plates

7. 17,576,000 license plates

8.

• a. 16,807
• b. 2,520
• c. 2,401
• d. 2,401
• e. 4,802

9. 8,192

10. 26⁸ = 208,827,064,576 or 2.09 x 10¹¹ passwords

11. 52¹⁰ = 1.45 x 10¹⁷ passwords

12. 100,000 code combinations

13. 9,000

14. 4,194,304

15.

• a. 64
• b. 24

16.

• a. 1,296
• b. 360

17.

• a. 1,000
• b. 720

18. 24

19. 5,040

20. 240,240

21. 48

22. 9,129,120

23. 840

24. 1.19 x 10¹³

25. 1,320

26. 302,400

27. 19,958,400

28. 39,916,800

29. 15,120

30. 6,306,300