Lessons
Product Principle
- Video - Counting Techniques with Repetitions (10:14)
- Video - Counting Techniques with Repetitions of Mixed Cases (5:36)
- Video - Counting Techniques without Repetitions (6:48)
- Video - Arrangements with Repetitions: Combination Locks (1:35)
- Video - Arrangements with Repetitions: Lights On/Off (1:54)
- Video - Arrangements with Repetitions: Binary Numbers (1:46)
- Video - Arrangements without Repetitions: Numeric Passwords (3:06)
- Video - Arrangements without Repetitions: Alphanumeric Passwords (2:14)
- Video - Arrangements without Repetitions: Combination Locks (1:25)
Factorials
- Video - Definition of Factorial (5:52)
- Video - Simplifying Expressions involving Factorials (4:22)
- Video - Equations involving Factorials (2:08)
- Video - Arrangements of 4 Cards (2:04)
- Video - Arrangements of 9 People Queuing Up a Line (5:18)
- Video - Arrangements of 6 Girls and 2 Boys (4:09)
- Video - Formula of Considering Duplicates (2:57)
- Video - Arrangements involving Duplicates (3:01)
- Video - Arrangements involving Duplicates in Groups (1:11)
- Topic - Calculating Factorials
- Topic - Calculating Factorials involving Fractions
- Topic - Factorials involving Multi Factorials & Fractions
Permutations
- Video - Ordered Selections (4:45)
- Video - Ordered Selections without or with Replacement (2:38)
- Video - Definition of Permutation (2:57)
- Video - Calculating Permutations (2:23)
- Video - Equations involving Permutation (1:20)
- Video - Introduction to Permutation (4:34)
- Video - Applying Permutations (2:49)
Combinations
- Video - Counting Techniques without Replacements (2:28)
- Video - Unordered Selections: Choosing Letters (8:21)
- Video - Unordered Selections: Forming Groups (3:02)
- Video - Definition of Combination (3:59)
- Video - Simplifying Combinations (3:25)
- Video - Equations involving Combination (3:46)
- Video - Proofs involving Combination (3:30)
- Video - Understanding Combination (1:49)
- Video - Choosing Combinations from Two Groups (4:17)
- Video - Combinations involving At Least (2:26)
- Video - Combinations involving Duplicates (5:05)
General Binomial Theorem
- Video - Binomial Expansion: Finding the Coefficients involving Fractions (6:20)
- Video - Proof involving Binomial Expansions (6:39)
- Video - Simplifying Binomial Series by Substituting Values (5:58)
- Video - Simplifying Binomial Series by Differentiations (4:00)
- Video - Simplifying Binomial Series by Integrations (7:30)
Application of Binomial Expansions
- Video - Binomial Expansion: Ratio of Consecutive Terms Theory (6:10)
- Video - Binomial Expansion: Ratio of Consecutive Terms (3:47)
- Video - Binomial Expansion: Ratio of Consecutive Terms involving Negative Signs (3:38)
- Video - Binomial Expansion: Single Greatest Coefficient (8:01)
- Video - Binomial Expansion: Two Greatest Coefficients (5:29)
- Video - Binomial Expansion: Single Numerically Greatest Coefficient (5:50)
- Video - Binomial Expansion: Two Numerically Greatest Coefficients (6:02)