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How many ways are there to color the numbers $1, 2, 3, 4, 5, 6$ with the colors red, green and blue such that no number is colored the same as one of its proper divisors? (The proper divisors of a number are the divisors that are not equal to the number itself)

Source: BdMO

Combinatorics

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First Solve @marzuqcesc

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