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    OlympiadMediumCombinatorics10–12

    How many four-digit numbers have digits that strictly increase from left to right?

    Quantos números de quatro algarismos têm algarismos estritamente crescentes da esquerda para a direita?

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    Solution

    Step 1 of 3

    1. 1.A strictly increasing string of digits cannot contain 00, since 00 would have to come first and a number cannot start with 00.