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given the digits 0,1,2,3,4,5,6, and 7 find the number of possibilities in each category four digit numbers, odd three digit numbers and three digit numbers without repeating digits.

  • math -

    In each case we can assume that no whole number starts with a zero, and no repeating digits for all 3 cases.

    number of 4 digits numbers = 6x6x5x4 = 720
    number of 3 digit odd numbers, (must end in an odd) = 5x5x3 = 75

    number of 3 digit numbers = 6x6x5 = 180

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