Python | SymPy Permutation.cardinality() method

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