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# sympy.combinatorics.permutations.Perm

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```A permutation, alternatively known as an 'arrangement number' or 'ordering'
is an arrangement of the elements of an ordered list into a one-to-one
mapping with itself. The permutation of a given arrangement is given by
indicating the positions of the elements after re-arrangment [2]_. For
example, if one started with elements [x, y, a, b] (in that order) and
they were reordered as [x, y, b, a] then the permutation would be
[0, 1, 3, 2]. Notice that (in SymPy) the first element is always referred
to as 0 and the permutation uses the indices of the elements in the
original ordering, not the elements (a, b, etc...) themselves.
(more...)
```

```from sympy.combinatorics.perm_groups import PermutationGroup
from sympy.combinatorics.permutations import Permutation, Perm
from sympy.combinatorics.tensor_can import (perm_af_direct_product, dummy_sgs,
riemann_bsgs, get_symmetric_group_sgs, gens_products, canonicalize,
bsgs_direct_product)
```

```from sympy.combinatorics.perm_groups import PermutationGroup