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Math Help - Bit strings

  1. #1
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    Bit strings

    Hello. I am getting confused on the topic of bit strings. Does anybody know how I could go about solving the following problems?

    How many bit strings of length 10 have at least eight 1 s in them?

    Describe the bit strings that are in the regular set represented by 0*11(0 1)*?

    Thanks!
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  2. #2
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    Quote Originally Posted by creativewisdom View Post
    How many bit strings of length 10 have at least eight 1 s in them?

    Describe the bit strings that are in the regular set represented by 0*11(0 1)*?

    Thanks!
    There \binom{10}{8} with eight 1's.
    There \binom{10}{9} with nine 1's.
    There \binom{10}{10} with ten 1's.
    Add them up.

    I do not understand the notation in the second question.
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  3. #3
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    Quote Originally Posted by Plato View Post
    There \binom{10}{8} with eight 1's.
    There \binom{10}{9} with nine 1's.
    There \binom{10}{10} with ten 1's.
    Add them up.

    I do not understand the notation in the second question.
    Thank you so much for your help! You do not understand how much I appreciate that. As for the second question, it comes from my assignment from my online class I am taking in discrete math. I have had issue after issue with rendering notation such as that, which is probably why I didn't understand what it meant. Oh well. Again, I really do thank you for your help.
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