SOLUTION: How many numbers less than 1 million do not contain the digit 2?

Question 934615: How many numbers less than 1 million do not contain the digit 2?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
ANSWER:
Counting only positive integers (not counting zero),
there are numbers less than 1 million that do not contain the digit 2.
If we count zero, then it is just .

EXPLANATION:
Counting zero, numbers less than 1 million can be considered sequences of 6 digits,
, , ..... ,
so there are possible choices for each digit position,
and as a consequence .
If we do not count , then there would be less.
If we cannot use the digit ,
there are only choices for each digit position,
and we get 6-digit sequences made from the digits 0,1,3,4,5,6,7,8,9,
including , which represents the number .

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