MAT119 ANSWERS TO SELECTED HW PROBLEMS - CHAPTER 6

Section 6.2:

4: 7 8: 19 14: 380 16: 19

18: 44 20: 14 24: 59

28: a) 42 b) 9 c) 5 d) 2 e) 44 f) 31

Section 6.3

4: 24 10: 67,600 12: 120

16: a) 604,800 b) 544,320 c) 10,000,000

22: 128 24: 1,600,000 26: 216,000

28: 480 30: 6561

32: a) 720 b) 1000 c) 810

Section 6.4

2: 20,160 6: 110 12: 8

14: 720 16: 360 22: 40,320

24: No repeated letters: 7,893,600. Repeated: 11,881,376.

26: a) 14,400 b) 14,400 28: 1680

30: 604,800 32: 120

Section 6.5

2: 5 4: 8 6: 8

8: 70 10: 126 12: 635,013,559,600

16: 126 18: 1520!/(841!434!245!) 20: 194,480

22: Exactly two 1’s: 28. Exactly three 1’s: 56

24: 1287 26: 1200 28: 1050

30: 1.1x 10^17 32: a) 220 b) 1320 c) 660 34: 56

Section 6.6

2: a) 64 b) 20 c) 57 d) 21

4: a) 3,003 b) 20,475 c) 16,653

6: 27,720 8: 90,720

10: 100!/(22!13!10!5!16!17!17!)

12: a) 381,024 b) 1260 16: 210

18: a) 112 b) 448 20: 15

22: 13,860