# 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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