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93237a0 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 | from itertools import permutations
from fractions import Fraction
valid, divisible, first_one = 0, 0, 0
for digits in permutations(range(6), 4):
if digits[0] == 0:
continue
valid += 1
number = 1000 * digits[0] + 100 * digits[1] + 10 * digits[2] + digits[3]
if number % 5 == 0:
divisible += 1
first_one += digits[0] == 1
assert first_one == 24
result = {"total": valid, "divisible": divisible,
"p_divisible": str(Fraction(divisible, valid)),
"p_first_one_given_divisible": str(Fraction(first_one, divisible))}
import json
print(json.dumps(result, ensure_ascii=False, sort_keys=True))
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