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How many counting numbers between 100 and 1000 have at least one 2 as a digit?

  • math -

    There are 900 of those counting numbers with no restriction.

    Let's find all those that DON'T have a 2 in them

    there are 8 possible in the left spot , (no 2 or 0)
    but 9 anywhere else
    number of counting numbers with NO 2 in them is
    8x9x9 = 648

    So 900 - 648 or 252 of them have at least one 2 in them.

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