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math

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How many Seven-Digit numbers less than 1,048,000 can be using the digits 0,1,4,6,7,8 and 9 ? Think: Make A List Of Possible Ways to Represent Your Seven-Digit Numbers.

  • math -

    to have a 7-digit number < 1 048 000 the first two digits have to stay.

    so let's start looking at the third place
    1 -if we keep the 4, then the remaining digits can be
    filled in 5x7x7x7 or 1715 ways
    2. If we use a digit other than 4, namely a 0 or 1,
    then the remaining digits can be filled in
    2x7x7x7x7 or 4802 ways

    for a total of 1715+4802 or 6517 ways

    systematic list:
    1 047 999
    1 047 998
    ..
    1 047 000
    1 046 999
    1 046 998
    ..
    1 046 000

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