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
Comments on permutation and combination:
For some permutation and combination problems that need to be adjacent, the adjacent elements can be regarded as a "meta" arranged with other elements, and then the interior of the "meta" can be arranged. Note: For the arrangement of some nonadjacent elements, we can arrange other elements first, and then insert nonadjacent elements between the arranged elements and the gaps at both ends.