User:Zanpan/sandbox

In mathematics, the notion of multiple permutation relates to m permutations of n elements.

Defination
Let $$\Pi=\{\pi_1,\pi_2,\ldots,\pi_m\}$$ be a family of m permutations of $$N=\{1,2,\ldots,n\}$$, and $$\mathfrak{S}$$ is a sequence on the multiset $$M=\{(N,m)\}$$, then the map $$\phi:\Pi\rightarrow\mathfrak{S}$$ is called a multiple permutation.