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I've never been asked a question involving how many do not contain a specific string and I'm not quite sure how to go about answering this question.

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    How many _do_ contain the string $1001001$? What the amount is, subtract it from the total number of bitstrings of length $10$.2012-12-05
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    How do I get started on that path I'm very new to discrete math. Would I do 11 c 7 for that?2012-12-05
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    My answer had a minor problem, and since I posted it, there are many other answers now that should provide details on how to go about this process.2012-12-05

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