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What is the relationship between the mathematical permutation formula Amn Pmn Cmn and their respective formulas?
Amn and Pmn are both permutation formulas, Cmn is a combination formula, Amn=m! /(m-n)! ,Cmn=m! /[n! *(m-n)! ] n! Represents the factorial of n.

Amn(m superscript, n subscript) = n * (n-1) * (n-2) * (n-3) ... * (n-m+1), such as A58=8*7*6*5*4 (the last item is 8.

Cmn(m superscript, n subscript) = [n * (n-1) * (n-2) * (n-3) * (n-m+1)1* 2 * 3 * m for example.

In addition, Cmn has a special equation: Cmn=C(n-m)n(n-m) is a superscript and n is a subscript, so if m is more than half of n, we will take Cmn=C(n-m)n.

For example, C58 will be equal to C(8-5)8, that is, C38, C58=8*7*6*5*4/ 1*2*3*4*5. If the denominator of numerator 5 and 4 are removed, C38 = 8 * 7 * 6/ 1 * is obtained.

PMN (polymorphonuclear leukocytes) is a medical term, which refers to polymorphonuclear leukocytes. It is an important part of nonspecific immunity and plays a key role in resisting microbial invasion and promoting the occurrence, development and regression of inflammation.