# positive intergers <= 100, divisible either 8 or 12?

• Dec 14th 2012, 06:12 PM
brianjasperman
positive intergers <= 100, divisible either 8 or 12?
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• Dec 14th 2012, 07:08 PM
Plato
Re: positive intergers <= 100, divisible either 8 or 12?
Quote:

Originally Posted by brianjasperman
QUESTION:
"Find the number of positive intergers not exceeding 100 that are not divisible by either 8 or 12. I get 84

This is the number of positive intergers not exceeding 100 that are divisible by either 8 or 12 $\left\lfloor {\frac{{100}}{8}} \right\rfloor + \left\lfloor {\frac{{100}}{{12}}} \right\rfloor - \left\lfloor {\frac{{100}}{{24}}} \right\rfloor$
• Dec 14th 2012, 07:39 PM
brianjasperman
Re: positive intergers <= 100, divisible either 8 or 12?
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• Dec 14th 2012, 07:43 PM
brianjasperman
Re: positive intergers <= 100, divisible either 8 or 12?
I see now. I wrote ARE DIVISIBLE, when I meant to say ARE NOT....
So, I am right?
• Dec 14th 2012, 07:45 PM
brianjasperman
Re: positive intergers <= 100, divisible either 8 or 12?
If you liked that problem, I also posted a fun spanning tree problem about 1 hour ago. Try it out, it's a blast....please:)

Marry Christmas!