Posted by **Tenecia** on Thursday, September 2, 2010 at 7:10am.

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 -
**Reiny**, Thursday, September 2, 2010 at 7:54am
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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