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Math Fundamentals
Combinations
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Arithmetic & Modulo
0/41
Exponents & Roots
0/49
Logarithms
0/49
Basic Algebra
0/46
Sequences & Summations
0/41
Number Bases
0/41
Bit Manipulation
0/41
Boolean Logic
0/40
Sets
0/41
Counting Principles
0/43
Factorials & Permutations
0/45
Combinations
0/44
1
Intro
2
When Order Doesn't Matter
3
Combinations vs Permutations
4
The Combinations Formula
5
Why Divide by k!
6
Example: C(6,2)
7
Example: C(10,3)
8
Symmetry: C(n,k) = C(n,n-k)
9
Boundary Cases
10
Pascal's Triangle
11
Building Pascal's Triangle
12
Pascal's Identity
13
Why Pascal's Identity Works
14
Binomial Theorem
15
Binomial Expansion Example
16
Counting Subsets
17
Why 2^n Subsets
18
Combinations with Repetition
19
Stars and Bars Method
20
Quiz: Basic Combinations
21
Combinatorial Identities
22
Hockey Stick Identity
23
Quiz: Pascal's Triangle
24
Quiz: Advanced Combinations
25
Real World Applications
26
Computing Large Combinations
27
Combinations Modulo M
28
Combinations in Probability
29
Problem - Combinations
30
Combinations - Building Strategy
31
Combinations - Implementation
32
Lessons from Combinations
33
Problem - Combination Sum
34
Combination Sum - Reuse Strategy
35
Combination Sum - Implementation
36
Lessons from Combination Sum
37
Problem - Subsets
38
Subsets - Include or Exclude
39
Subsets - Implementation
40
Lessons from Subsets
41
Problem - Subsets II
42
Subsets II - Insight
43
Subsets II - Implementation
44
Section Recap
Probability Basics
0/62
Divisibility & Primes
0/44
GCD & LCM
0/47
Modular Arithmetic
0/46
Big O Notation
0/49
Geometry Basics
0/45
12.1
Intro
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