SOLUTION: What fraction of the integers between 0 and 1000 include exactly two 6s

Question 810754: What fraction of the integers between 0 and 1000 include exactly two 6s
Answer by Edwin McCravy(20055) (Show Source): You can put this solution on YOUR website!

No 1-digit number can contain two 6's.

There is only one two digit number that contains exactly 2 6's.
That is the number 66.

The three-digit numbers are of the form _66, 6_6, or 66_

1. _66, there are 8 ways to fill the blank, as we cannot fill it with 0 or 6.
2. 6_6, there are 9 ways to fill the blank, as we cannot fill it with 6.
3. 66_, there are 9 ways to fill the blank, as we cannot fill it with 6.

A total of 8+9+9 = 26 three-digit numbers.

that's 1 two digit number plus 26 three digit numbers =

Answer:  27.

Edwin

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