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
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