Math

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What is the probability that a number chosen at random from the range 1,000,000,000 to 9,999,999,999 inclusive will contain ten different digits? Round your answer to the nearest millionth

  • Math -

    The number of ways the 10 distinct digits can form distinct numbers is given by
    10!.
    So the probability is 10! divided by the number of possible outcomes.

  • Math -

    The first digit on the right can be any number from 0 to 9 so ten choices
    1/10 so far
    the second digit (tens place) can be one of 9
    1/10 * 1/9
    the third can be one of 8 remaining
    1/10 * 1/9 * 1/8
    etc
    get the picture?

  • Math -

    So after i do all that should i get one whole number

  • Math -

    No, you will not get a whole number
    a probability is a number between 0 and 1
    1/10! which is about .00000027

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