Problem 727

Daily Math Challenge - May 26, 2022



Your task is to arrange the digits 1, 1, 2, 2, 3 and 3 to form a six-digit number such that the 1s have one digit between them, the 2s have 2 digits between them and the threes have three digits between them.  What is the sum of all possible six-digit numbers (using these six digits) that meet these conditions?  

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