Using the Counting Principle with Restrictions

Here is the assignment we began in class today ... finish it as well as Exercise #32 for class tomorrow. The answers are provided below. WARNING: Number 11 is difficult.



Answers:
1. 120

2. 20 160

3. (a) 840
(b) 240
(c) 144

4. (a) 2160
(b) 1260
(c) 660

5. 144

6. 4320

7. (a) 4536
(b) 2240
(c) 952

8. (a) 5040
(b) 720

9. (a) 576
(b) 72

10. (a) 891
(b) 445
(c) 179

11. 240

12. (a) 10 416
(b) 5082