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anonymous

  • 4 years ago

I'm have a little problem grasping string concepts. Here's my other question. Please provide explanation. How many 8 bit strings contain exactly three 0’s?

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  1. anonymous
    • 4 years ago
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    is 8 bit 8 binary digits?

  2. anonymous
    • 4 years ago
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    yes

  3. anonymous
    • 4 years ago
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    so there are 32 different possible combinations right?

  4. anonymous
    • 4 years ago
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    I think so yes.

  5. anonymous
    • 4 years ago
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    Not 32 what was I thinking its 2^8 which is 256

  6. anonymous
    • 4 years ago
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    can you explain please?

  7. anonymous
    • 4 years ago
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    8 binary digits, each binary digit can be either 1 or 0, so I did 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 or 2^8

  8. anonymous
    • 4 years ago
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    but the question ask how many 8 bit string contain EXACTLY three 0's?

  9. anonymous
    • 4 years ago
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    right, but I'm just saying there are 256 possible combinations

  10. anonymous
    • 4 years ago
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    I don't understand the concept. what if it asked contain EXACTLY four 0's would the answer be the same?

  11. anonymous
    • 4 years ago
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    No no no no , 256 is not the answer. I'm just saying there are 256 DIFFERENT combinations for binary in 8 digits

  12. anonymous
    • 4 years ago
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    OK so how do I figure out the answer?

  13. anonymous
    • 4 years ago
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    Now to find the answer we can do 8 choose 3, it basically means how many combinations of 3 things can come out of 8 places for lack of better words. The formula for this is (for a choose b) |dw:1327813091899:dw|

  14. anonymous
    • 4 years ago
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    a!/b! x (a-b)!

  15. anonymous
    • 4 years ago
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    so try to figure it out now.

  16. anonymous
    • 4 years ago
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    ok thank you

  17. anonymous
    • 4 years ago
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    the answer is 56 i believe.

  18. anonymous
    • 4 years ago
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    I don't under what (" for a choose b") mean. Can you explain please.

  19. anonymous
    • 4 years ago
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    I just meant that when I say "a choose b" where a is bigger than b I mean the formula that I showed below

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