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Omni-MATH / What is the sum of all of the possibilities for Sam's number if Sam thinks of a…

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problem

What is the sum of all of the possibilities for Sam's number if Sam thinks of a 5-digit number, Sam's friend Sally tries to guess his number, Sam writes the number of matching digits beside each of Sally's guesses, and a digit is considered "matching" when it is the correct digit in the correct position?

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