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$ curl repovive.com/roadmaps/math-fundamentals/combinations

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$ curl repovive.com/roadmaps/math-fundamentals/combinations

Lessons

1. Intro

2. When Order Doesn't Matter

3. Combinations vs Permutations

4. The Combinations Formula

Ready to start learning?

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. Problem: Combinations

22. Approach: Backtracking

23. Combinations - Implementation

24. Combinations - Implementation

25. Problem: Subsets

26. Approach: Include or Exclude

27. Subsets - Implementation

28. Subsets - Implementation

29. Quiz: Pascal's Triangle

30. Problem: Combination Sum

31. Approach: Backtracking with Repetition

32. Combination Sum - Implementation

33. Combination Sum - Implementation

34. Combinatorial Identities

35. Hockey Stick Identity

36. Problem - Combinations

37. Real World Applications

38. Combinations - Building Strategy

39. Computing Large Combinations

40. Combinations - Implementation

41. Combinations Modulo M

42. Lessons from Combinations

43. Quiz: Advanced Combinations

44. Problem - Combination Sum

45. Combinations in Probability

46. Combination Sum - Reuse Strategy

47. Problem - Subsets II

48. Combination Sum - Implementation

49. Subsets II - Insight

50. Lessons from Combination Sum

51. Subsets II - Implementation

52. Problem - Subsets

53. Section Recap

54. Subsets - Include or Exclude

55. Subsets - Implementation

56. Lessons from Subsets