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