SOLUTION: How many six digit numbers are there which DO NOT contain a 5?

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Question 202801: How many six digit numbers are there which DO NOT contain a 5?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
For the first digit, you have the choice of values 0-9, but you can't have the value 5 or 0 (since numbers don't have zeros on the left most side). So this means that you have 8 choices for the first digit. For the other digits (the 5 remaining digits), you have 9 choices. Simply multiply all these possibilities to get


8%2A9%2A9%2A9%2A9%2A9+=+8%2A9%5E5+=+8%2A59049+=+472392


So there are 472,392 six digit numbers that do NOT have a 5 anywhere in the number.