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# Python | SymPy Permutation.cardinality() method

• Last Updated : 26 Aug, 2019

Permutation.cardinality() : cardinality() is a sympy Python library function that returns all the possible number of permutation.

Syntax : sympy.combinatorics.permutations.Permutation.cardinality()

Return : all the possible number of permutation

Code #1 : cardinality() Example

 `# Python code explaining``# SymPy.Permutation.cardinality()`` ` `# importing SymPy libraries``from` `sympy.combinatorics.partitions ``import` `Partition``from` `sympy.combinatorics.permutations ``import` `Permutation`` ` `# Using from sympy.combinatorics.permutations.Permutation.cardinality() method `` ` `# creating Permutation``a ``=` `Permutation([[``2``, ``0``], [``3``, ``1``]])`` ` `b ``=` `Permutation([``1``, ``3``, ``5``, ``4``, ``2``, ``0``])`` ` ` ` `print` `(``"Permutation a - cardinality form : "``, a.cardinality)``print` `(``"Permutation b - cardinality form : "``, b.cardinality)`

Output :

Permutation a – cardinality form : 24
Permutation b – cardinality form : 720

Code #2 : cardinality() Example – 2D Permutation

 `# Python code explaining``# SymPy.Permutation.cardinality()`` ` `# importing SymPy libraries``from` `sympy.combinatorics.partitions ``import` `Partition``from` `sympy.combinatorics.permutations ``import` `Permutation`` ` `# Using from sympy.combinatorics.permutations.Permutation.cardinality() method `` ` `# creating Permutation``a ``=` `Permutation([[``2``, ``4``, ``0``], ``                 ``[``3``, ``1``, ``2``],``                 ``[``1``, ``5``, ``6``]])`` ` ` ` `print` `(``"Permutation a - cardinality form : "``, a.cardinality)`

Output :

Permutation a – cardinality form : 5040

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