Permutations & Combinations mathemtics for discreate methematics
- 2. Introduction • Permutations and combinations are methods to count possible arrangements of items.
- 3. What is a Permutation? • A permutation is an arrangement of objects in a specific order. Formula: P(n, r) = n! / (n-r)!
- 4. What is a Combination? • A combination is a selection of objects without considering the order. Formula: C(n, r) = n! / (r!(n-r)!)
- 8. Permutation Question 1 • If there are 3 books and you need to arrange 3 of them on a shelf, how many ways can you do this?
- 9. Permutation Question 2 • If there are 4 books and you need to arrange 4 of them on a shelf, how many ways can you do this?
- 10. Permutation Question 3 • If there are 5 books and you need to arrange 2 of them on a shelf, how many ways can you do this?
- 11. Permutation Question 4 • If there are 6 books and you need to arrange 3 of them on a shelf, how many ways can you do this?
- 12. Permutation Question 5 • If there are 7 books and you need to arrange 4 of them on a shelf, how many ways can you do this?
- 13. Permutation Question 6 • If there are 8 books and you need to arrange 2 of them on a shelf, how many ways can you do this?
- 14. Permutation Question 7 • If there are 9 books and you need to arrange 3 of them on a shelf, how many ways can you do this?
- 15. Permutation Question 8 • If there are 10 books and you need to arrange 4 of them on a shelf, how many ways can you do this?
- 16. Permutation Question 9 • If there are 11 books and you need to arrange 2 of them on a shelf, how many ways can you do this?
- 17. Permutation Question 10 • If there are 12 books and you need to arrange 3 of them on a shelf, how many ways can you do this?
- 18. Combination Question 1 • If there are 6 students in a class and you need to select a team of 3, how many ways can you do this?
- 19. Combination Question 2 • If there are 7 students in a class and you need to select a team of 4, how many ways can you do this?
- 20. Combination Question 3 • If there are 8 students in a class and you need to select a team of 5, how many ways can you do this?
- 21. Combination Question 4 • If there are 9 students in a class and you need to select a team of 2, how many ways can you do this?
- 22. Combination Question 5 • If there are 10 students in a class and you need to select a team of 3, how many ways can you do this?
- 23. Combination Question 6 • If there are 11 students in a class and you need to select a team of 4, how many ways can you do this?
- 24. Combination Question 7 • If there are 12 students in a class and you need to select a team of 5, how many ways can you do this?
- 25. Combination Question 8 • If there are 13 students in a class and you need to select a team of 2, how many ways can you do this?
- 26. Combination Question 9 • If there are 14 students in a class and you need to select a team of 3, how many ways can you do this?
- 27. Combination Question 10 • If there are 15 students in a class and you need to select a team of 4, how many ways can you do this?
- 28. Thank You! Hope you enjoyed learning about permutations and combinations!