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Math Fundamentals
Counting Principles
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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
1
Intro
2
Why Counting Matters
3
The Sum Rule
4
Sum Rule Example
5
The Product Rule
6
Product Rule Example
7
When to Add vs Multiply
8
Mixed Example
9
Problem - Count Passwords
10
Password Count - Solution
11
Password Variants
12
Counting Paths on Grids
13
Counting Strings
14
Counting with Restrictions
15
At Least One Constraint
16
Double Counting Principle
17
Pigeonhole Principle
18
Pigeonhole Example
19
Inclusion-Exclusion Principle
20
Inclusion-Exclusion Example
21
Counting in Practice
22
What Comes Next
23
Overcounting and Correction
24
Counting Subsets
25
Counting Binary Strings
26
Counting with Forbidden Positions
27
Counting Divisors
28
Problem - Climbing Stairs
29
Climbing Stairs - Insight
30
Climbing Stairs - Implementation
31
Problem - Unique Paths
32
Unique Paths - The Formula
33
Unique Paths - Implementation
34
Lessons from Unique Paths
35
Problem - Unique Paths II
36
Unique Paths II - Handling Obstacles
37
Unique Paths II - Implementation
38
Lessons from Unique Paths II
39
Problem - Letter Combinations
40
Letter Combinations - Counting First
41
Letter Combinations - Implementation
42
Lessons from Letter Combinations
43
Section Recap
Factorials & Permutations
0/45
Combinations
0/44
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
10.1
Intro
2 minutes
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Tasks
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