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finite math

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suppose that 3 digits are selected at random from the set S={1,2,3,4,5,6} and are arranged in random order. Find the probability that the resulting 3-digit number is less than 300.

  • finite math - ,

    Can digits be repeated?
    I will assume they CANNOT

    number of possible 3 digit numbers
    = 6*5*4 = 120

    to be less than 300, the number must start with either a 1 or a 2
    number of such cases = 2*5*4 = 40

    prob of event = 40/120 = 1/3

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