Ⅰ.
Warming up
- Law of sum, law of multiplication

Ⅱ.
Number of cases
Main 1 The most important problem - linear arrangement
main 2 Duplicated problems
An array with something like main 3
Main 4 Choice Problem
main 5 circular array

Ⅲ.
Permutations and combinations
1.
permutation
2.
Duplicate permutation
3.
Permutations that have the same thing
4.
mixture
5.
Duplicate combination
6.
binomial theorem
7.
Permutation

Ⅳ.
Organized by problem type
1.
Single-line arrangement (single-line arrangement: conditional permutation)
2.
Multiple line arrangement
3.
Paint
4.
Share (distribute)
5.
Walking along the road
6.
Making △, □
7.
Number of functions
8.
Emergency contact information and match schedule
9.
Problem 1 that cannot be solved by permutation (using a tree diagram)
10.
Problem 2 that cannot be solved by permutation (using sequences and recurrence relations)
11.
Permutation

Mathematics with exceptionally good explanations - Features of permutations and combinations

◎ Warm-up
As a preparatory step for calculating the number of cases in earnest, the law of sum and the law of multiplication are explained in detail.
If you don't have a solid understanding of the law of addition and the law of multiplication, you may get confused about when to add and when to multiply when calculating the number of cases.


◎ Number of cases (main 5)
We introduce main 5 as the most representative problem for finding the number of cases.
The five main problems presented are simple problems that anyone can solve without prior knowledge. By solving these problems and looking at the various solutions presented, you can easily understand the thinking process of permutations and combinations and have the effect of understanding the content of the text in advance.

◎ Permutations and combinations
The problem-solving methods and thinking styles learned from the main 5 problems are introduced and explained in detail as formulas and concepts according to the order of the curriculum.
It covers all the curriculum content in the unit on permutations and combinations, and aims to provide specific and detailed explanations so that you can understand them immediately after reading them.

◎ Summary by problem type
Each problem that involves calculating the number of cases has its own way of thinking, solution method, and skill.
We systematically and thoroughly explain various problems and solution methods by type and condition.
We focus on developing the ability to apply knowledge to solve various problems in real-world situations.

≫I recommend this to these students.


◎ For students who are not getting good grades due to changes in the curriculum
I recommend this to students who are having trouble getting good grades due to changes in the curriculum.

For most students, the academic landscape changes slightly as they move from elementary to middle school and from middle to high school.
The reason is that the approach to mathematics remained the same as before as the curriculum changed.
In elementary mathematics, the goal is to acquire basic mathematical knowledge and skills; in middle school mathematics, the goal is to understand the relationships between concepts, principles, and laws; and in high school mathematics, the goal is to logically solve problems learned in middle school mathematics.
Therefore, in order to study in accordance with the curriculum, the approach to mathematics must change, and the important thing here is that it must be accompanied by an accurate understanding of concepts and principles.
If you develop the habit of organizing concepts and principles on your own using this book, you will be able to overcome the difficulties that arise as the curriculum changes.

◎ For students who do not understand basic concepts and principles from basic books available on the market
I recommend this to students who do not understand basic concepts and principles from basic books available on the market.

Mathematics requires solving problems logically using basic concepts and principles.
However, without a sufficient understanding of the basic concepts and principles, you cannot solve problems logically.
In order to study basic concepts and principles, we study with basic books, but the basic books available on the market are not designed to help us understand basic concepts and principles, but rather to teach us to memorize each formula in order to solve problems, so we do not fully understand basic concepts and principles.
This book brings together various thoughts and processes to provide a complete understanding of basic concepts and principles.


◎ For students whose grades do not improve even after solving many problems
I recommend this to students who don't see their grades improving even after solving many problems.
No matter how many workbooks you solve and how many different problems you encounter, 'that exact problem' will never appear on the actual exam.
The test only contains questions that you have never seen before.
So, I often get flustered when I receive the test paper.
I spent so much time solving these problems...
While I was trying to figure out the types of each problem I saw for the first time, the test time flew by and I failed.
No matter how many workbooks you solve and how many different problems you encounter, if your concepts are not solid, you will not be able to solve them on your own without a solution method.
Expanding your understanding of mathematical principles and concepts with this book is the surest way to get a good score on your math test.