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How to calculate the mathematical arrangement combination A: 3 up, 3 down and 3 down? What about 1 on A and 5 on A?
The complete arrangement of the numbers of 3 up, 3 down and 3 fingers on a is 3 * 2 * 1 = 6. ? A is 1 and 5 is 5.

There are two kinds of permutation: sorted permutation and full permutation. When m different elements are taken out from n different elements, when m

That is to say, the number of permutations of all N different elements is equal to the continued product of positive integer 1 to n, and the continued product of positive integer from 1 to n is called the factorial of n, and n! Express delivery. We stipulate 0! = 1。

Extended data:

The calculation method of permutation and combination is as follows:

The arrangement a (n, m) = n× (n- 1). (n-m+ 1) = n! /(n-m)! (n is subscript and m is superscript, the same below)

Combination C(n, m)=P(n, m)/P(m, m) =n! /m! (n-m)! ;

For example:

A(4,2)=4! /2! =4*3= 12

C(4,2)=4! /(2! *2! )=4*3/(2* 1)=6