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KöMaL 2025 K841

    We celebrate the 125th125^{\text{th}} anniversary of writer István Fekete's birth on 2025.01.25 (YYYY.MM.DD). Number 20250125 is not divisible by 11, and gives a remainder of 2 when divided by 3. How many numbers can be obtained by rearranging the digits of this number that are divisible by 11 and give a remainder of 2 when divided by 3 just as well?

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