Your Combinations Python

An efficient combinatorics Python software to generate and get the list of all Permutations and Combinations with the ability to enable or disable repetition. (utilizing generators)

Functions

• PowerSet
• Permutation with repetition
• Permutation without repetition
• Combinations with repetition
• Combinations without repetition

Usage

PowerSet

your_combinations = YourCombinations([1, 2, 3])
print("Power set:")
for i in your_combinations.powerSet():
    print(i)

# [
#   [],       [ 1 ],
#   [ 2 ],    [ 1, 2 ],
#   [ 3 ],    [ 1, 3 ],
#   [ 2, 3 ], [ 1, 2, 3 ]
# ]

Permutation with repetition

your_combinations = YourCombinations([1, 2, 3])
print("Combinations size 4 with repetition:")
for i in your_combinations.permutations(4, True):
    print(i)

# [ 1, 1, 1, 1 ]
# [ 1, 1, 1, 2 ]
# [ 1, 1, 1, 3 ]
# [ 1, 1, 2, 1 ]
# [ 1, 1, 2, 2 ]
# [ 1, 1, 2, 3 ]
# [ 1, 1, 3, 1 ]
# [ 1, 1, 3, 2 ]
# [ 1, 1, 3, 3 ]
# [ 1, 2, 1, 1 ]
# [ 1, 2, 1, 2 ]
# [ 1, 2, 1, 3 ]
# [ 1, 2, 2, 1 ]
# [ 1, 2, 2, 2 ]
# [ 1, 2, 2, 3 ]
# [ 1, 2, 3, 1 ]
# [ 1, 2, 3, 2 ]
# [ 1, 2, 3, 3 ]
# [ 1, 3, 1, 1 ]
# [ 1, 3, 1, 2 ]
# [ 1, 3, 1, 3 ]
# [ 1, 3, 2, 1 ]
# [ 1, 3, 2, 2 ]
# [ 1, 3, 2, 3 ]
# [ 1, 3, 3, 1 ]
# [ 1, 3, 3, 2 ]
# [ 1, 3, 3, 3 ]
# [ 2, 1, 1, 1 ]
# [ 2, 1, 1, 2 ]
# [ 2, 1, 1, 3 ]
# [ 2, 1, 2, 1 ]
# [ 2, 1, 2, 2 ]
# [ 2, 1, 2, 3 ]
# [ 2, 1, 3, 1 ]
# [ 2, 1, 3, 2 ]
# [ 2, 1, 3, 3 ]
# [ 2, 2, 1, 1 ]
# [ 2, 2, 1, 2 ]
# [ 2, 2, 1, 3 ]
# [ 2, 2, 2, 1 ]
# [ 2, 2, 2, 2 ]
# [ 2, 2, 2, 3 ]
# [ 2, 2, 3, 1 ]
# [ 2, 2, 3, 2 ]
# [ 2, 2, 3, 3 ]
# [ 2, 3, 1, 1 ]
# [ 2, 3, 1, 2 ]
# [ 2, 3, 1, 3 ]
# [ 2, 3, 2, 1 ]
# [ 2, 3, 2, 2 ]
# [ 2, 3, 2, 3 ]
# [ 2, 3, 3, 1 ]
# [ 2, 3, 3, 2 ]
# [ 2, 3, 3, 3 ]
# [ 3, 1, 1, 1 ]
# [ 3, 1, 1, 2 ]
# [ 3, 1, 1, 3 ]
# [ 3, 1, 2, 1 ]
# [ 3, 1, 2, 2 ]
# [ 3, 1, 2, 3 ]
# [ 3, 1, 3, 1 ]
# [ 3, 1, 3, 2 ]
# [ 3, 1, 3, 3 ]
# [ 3, 2, 1, 1 ]
# [ 3, 2, 1, 2 ]
# [ 3, 2, 1, 3 ]
# [ 3, 2, 2, 1 ]
# [ 3, 2, 2, 2 ]
# [ 3, 2, 2, 3 ]
# [ 3, 2, 3, 1 ]
# [ 3, 2, 3, 2 ]
# [ 3, 2, 3, 3 ]
# [ 3, 3, 1, 1 ]
# [ 3, 3, 1, 2 ]
# [ 3, 3, 1, 3 ]
# [ 3, 3, 2, 1 ]
# [ 3, 3, 2, 2 ]
# [ 3, 3, 2, 3 ]
# [ 3, 3, 3, 1 ]
# [ 3, 3, 3, 2 ]
# [ 3, 3, 3, 3 ]

Permutation without repetition

your_combinations = YourCombinations([1, 2, 3])
print("Combinations size 2 without repetition:")
for i in your_combinations.permutations(4, False):
    print(i)

# [ 1, 2 ]
# [ 1, 3 ]
# [ 2, 1 ]
# [ 2, 3 ]
# [ 3, 1 ]
# [ 3, 2 ]

Combinations with repetition

your_combinations = YourCombinations([1, 2, 3])
print("Permutations size 2 with repetition:")
for i in your_combinations.permutations(2, True):
    print(i)

# [ 1, 1, 1, 1 ]
# [ 1, 1, 1, 2 ]
# [ 1, 1, 1, 3 ]
# [ 1, 1, 2, 2 ]
# [ 1, 1, 2, 3 ]
# [ 1, 1, 3, 3 ]
# [ 1, 2, 2, 2 ]
# [ 1, 2, 2, 3 ]
# [ 1, 2, 3, 3 ]
# [ 1, 3, 3, 3 ]
# [ 2, 2, 2, 2 ]
# [ 2, 2, 2, 3 ]
# [ 2, 2, 3, 3 ]
# [ 2, 3, 3, 3 ]
# [ 3, 3, 3, 3 ]

Combinations without repetition

your_combinations = YourCombinations([1, 2, 3])
print("Permutations size 2 without repetition:")
for i in your_combinations.permutations(2, False):
    print(i)

# [ 1, 2 ]
# [ 1, 3 ]
# [ 2, 3 ]

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