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anonymous

  • one year ago

A true-false test has 12 questions. John guesses each answer. How many different ways are there for him to answer all the questions?

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  1. kropot72
    • one year ago
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    The number of ways to answer all the questions is\[\large 2^{12}=you\ can\ calculate\]

  2. anonymous
    • one year ago
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    There are two ways that John could guess each answer: true or false. Therefore, in order to get all possible question answers, you take 2*2*2... or 2^12 to get 4,096 possible ways John could answer. Hope this helps! :D

  3. anonymous
    • one year ago
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    how would i solve this in the form of a permutation?

  4. sepeario
    • one year ago
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    You mean like \[nPr\]

  5. anonymous
    • one year ago
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    yes

  6. sepeario
    • one year ago
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    I honestly have no idea. I tried putting like 10 different numbers into the permutation calculator and it didn't come up with the answer above..

  7. anonymous
    • one year ago
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    ahah don't worry about it, I'll just ask my teacher when i see him next time :) thank you though!

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