import itertools

length = 5
digits = set(range(10))
numbers = set(itertools.product(digits, repeat=length))

print(f"|Z| = {len(digits)}")
print(f"|N| = {len(numbers)}")

counter = 0
for n in numbers:
    if len(set(n)) == 1:
        counter += 1
print(f"|A| = {counter}")
# Ausgabe: |A| = 10

counter = 0
for n in numbers:
    if sum(n.count(x) == 4 for x in set(n)) > 0:
        counter += 1
print(f"|B| = {counter}")
# Ausgabe: |B| = 450

counter = 0
for n in numbers:
    if len(set(n)) == 3 and any(n.count(x) == 3 for x in set(n)):
        counter += 1
print(f"|C| = {counter}")
# Ausgabe: |C| = 7200

counter = 0
for n in numbers:
    if len(set(n)) == 2 and any(n.count(x) == 3 for x in set(n)):
        counter += 1
print(f"|D| = {counter}")
# Ausgabe: |D| = 900

counter = 0
for n in numbers:
    if len(set(n)) == 3 and any(x != y and n.count(y) == 2 and n.count(x) == 2 for x in set(n) for y in set(n)):
        counter += 1
print(f"|E| = {counter}")
# Ausgabe: |E| = 10800

counter = 0
for n in numbers:
    if len(set(n)) == 5:
        counter += 1
print(f"|F| = {counter}")
# Ausgabe: |F| = 30240