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How many non-repeating three digits can the number of 10 from 0 to 9 make up?
0-9 10 numbers can form 720 three-digit numbers, and there are no duplicate numbers.

I. Calculation steps

1, the first step

0-9 10 numbers should form a three-digit number, and there can be no duplicate signs.

First of all, you need to know how to calculate how many combinations there are for such three digits.

Step 2

Suppose that the hundredth digit of this three-digit number is A, the tenth digit is B, and the first digit is C.

Step 3

Because the percentile of a three-digit number cannot be 0, there are nine choices for the percentile (1-9).

Step 4

Ten digits can be any number between 0 and 9, so there are 10 options.

Step 5

The unit can also be any number from 0 to 9, but there are 8 choices, because it cannot be repeated with hundred and ten.

Step 6

So the total number of combinations of three digits is 9 × 10 × 8. The calculation result is: 720 combinations.

Second, the inventor of combined numbers.

The inventor of combinatorial mathematics is Gottfried Wilhelm Leibniz. He is a German philosopher and mathematician, known as Aristotle in the17th century.

Benefits of combining numbers

Improve the efficiency of solving problems

Combinatorial mathematics provides a systematic method to deal with and solve problems related to permutation, combination and probability. Using the concepts and skills of combinatorial mathematics, we can find the solution of the problem faster and improve the efficiency of solving the problem.

2. Simplify complex problems

In some cases, the problem may be so complicated that it is difficult to solve it directly. By using combinatorial mathematics, complex problems can be simplified into more manageable forms, so it is easier to find solutions.

3, it is widely used

Combinatorial mathematics has applications in many fields, including computer science, physics, biology, economics and so on. Therefore, mastering the knowledge and methods of combinatorial mathematics can provide a powerful tool for solving various practical problems.

4. Cultivate logical thinking

Combinatorial mathematics needs rigorous logical thinking and reasoning ability. By studying and practicing combinatorial mathematics, we can cultivate and improve our logical thinking and reasoning ability, which is helpful to better understand and solve other problems.