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What is the difference between permutation and combination in mathematics?
The so-called arrangement refers to taking out a specified number of elements from a given number of elements for sorting. Combination refers to taking out only a specified number of elements from a given number of elements, regardless of sorting.

The central problem of permutation and combination is to study the total number of possible situations in a given permutation and combination. Permutation and combination are closely related to classical probability theory.

Extended data:

Addition principle sum sorting counting method for permutation and combination

1. addition principle: There are n ways to do one thing, and finish it. In the first mode, there are m 1 different modes, in the second mode, there are m2 different modes, ... and in the n modes, there are mn different modes, so there are n = M 1+M2+M3+. ...

3. The method of the first method belongs to the set A 1, the method of the second method belongs to the set A2, ..., and the method of the n method belongs to the set An, so the method to accomplish this belongs to the set A 1ua2u...uan.

3. Classification requirements: each method in each category can accomplish this task independently; The specific methods in the two different methods are different from each other (that is, the classification is not heavy); Any method to accomplish this task belongs to a certain category (that is, classification does not leak).

References:

Permutation and combination-Baidu Encyclopedia