Chapter 8 Counting Techniques
2 8.1 PASCAL’S TRIANGLE AND THE BINOMIAL THEOREM
3
4
5
6
7
8
9 8.2 THREE FUNDAMENTAL PRINCIPLES
10
11
12
13
14
15
16
17
18
19
20
21
22
23
PERMUTATIONS AND COMBINATIONS
25
26
27
28
29
30
31
ARRANGEMENTS AND SELECTIONS WITH REPETITIONS
33
34
35
36
37
38
39
PROBABILITY
41
42
43
44
45
46
THE PRINCIPLE OF INCLUSION–EXCLUSION
48
49
50
51
52
53
54
55
56
57
58
59
60
GENERATING PERMUTATIONS AND r-COMBINIATIONS
62
63
64
65