Grade 12 Counting Principles

1. The Fundamental Counting
Principle
10 August 2022

2. Introduction
• This is a principle we use in order to determine the number of
different ways that something(s) can be done.
The Fundamental Counting Principle
If there are m ways to perform a certain task, and there are n
ways to perform another task, then the total number of ways
in which both tasks can be performed is 𝒎 × 𝒏

3. Example 1

4. Example 2

5. Example 3

6. Exercise 1

7. Factorial Notation

8. Example 5

9. Example 6

10. Example 7

11. Example 8

12. Example 9

13. Exercise 2

14. Arrangement of Objects in a Row

15. Exercise 3

16. Exercise 3

17. Letter Arrangements where Letters are Repeated

18. Example 11: continues…

19. From the previous example

20. Example 12

21. Example 13

22. Example 13: continues…

23. Exercise 4

24. Exercise 4

25. Exercise 4

26. Exercise 4

27. Examples involving Probability

28. Example 15

29. Example 16

30. Example 16: continues…

31. Example 16: continues…

32. Exercise 5

33. Exercise 5

34. The End!!!