Counting Principles and Combinatorics
| Сайт: | Young Education |
| Курс: | Probability and Combinatorics |
| Книга: | Counting Principles and Combinatorics |
| Надруковано: | ゲストユーザ |
| Дата: | пʼятниця 25 вересня 2026 01:01 AM |
1. The Fundamental Counting Principle
Learning outcomes
- I can apply the Fundamental Counting Principle.
- I can solve multi-stage counting problems.
- I can represent counting problems systematically.
- I can distinguish between different counting methods.
- I can solve practical counting problems.
2. Permutations
Learning outcomes
- I can define permutations.
- I can calculate permutations with and without repetition.
- I can distinguish between arrangements and selections.
- I can solve ordering problems.
- I can apply permutations in real-world contexts.
3. Combinations
Learning outcomes
- I can define combinations.
- I can calculate combinations.
- I can distinguish combinations from permutations.
- I can solve selection problems.
- I can apply combinations to practical situations.
4. Binomial Coefficients
Learning outcomes
- I can calculate binomial coefficients.
- I can interpret Pascal's Triangle.
- I can relate combinations to binomial coefficients.
- I can apply the Binomial Theorem.
- I can solve expansion problems.
5. Advanced Counting Techniques
Learning outcomes
- I can solve counting problems involving restrictions.
- I can solve circular permutation problems.
- I can solve problems involving repeated objects.
- I can combine multiple counting strategies.
- I can justify counting methods.