First, the basic concept of permutation and combination

Permutation and combination is a basic concept in mathematics, which is used to describe all permutations and combinations of m elements from n different elements. The calculation formula of permutation and combination is:

Number of permutations = n! / (n-m)！

"Where!" Represents factorial, that is, n! = n×(n- 1)×0...× 1。

Second, the arrangement and combination of reading, writing and kindness.

1, reading, books, ok, total words.

The word * * * has three different elements, so the total number of permutations is:

Total number of permutations = 3! = 3 × 2 × 1 = 6

2. Any arrangement and combination of the words reading, book and good.

Because there is no obvious order requirement for these three words, any permutation and combination is effective. Therefore, the number of any permutation and combination is:

Number of combinations in any arrangement = 6

Function of permutation and combination

1, the basic position of permutation and combination in mathematics

Permutation and combination is an important branch of mathematics, which studies the order and quantity of elements. It involves selecting, arranging and combining elements in a given set to produce different results. The basic principles and methods of permutation and combination are not only widely used in mathematics, but also provide important tools and ideas for other disciplines.

2. Application of permutation and combination in real life

Permutation and combination not only have a basic position in mathematics, but also have a wide range of applications in real life. For example, in the financial field, you can use permutation and combination to calculate the risk and return of portfolio; In the field of transportation, permutation and combination can be used to optimize route planning and vehicle scheduling.

In the medical field, clinical trials and drug research and development can be designed by permutation and combination. In addition, permutation and combination can also be used to solve various practical problems, such as cryptography, computer science, physics and so on.

3. The influence of permutation and combination on thinking mode and problem-solving ability

Learning permutation and combination not only helps to solve specific problems, but also has a positive impact on thinking mode and problem-solving ability. First of all, permutation and combination cultivate the ability of logical thinking and abstract thinking. By analyzing and solving different problems, people can understand the essence and structure of problems more deeply.

Secondly, permutation and combination cultivate innovative thinking and problem-solving ability. It encourages people to think about problems from multiple angles and find new solutions. Finally, permutation and combination also cultivate people's patience and perseverance. In the face of complex problems, people need to remain calm and patiently analyze and think, in order to find the best solution.