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

**brianjasperman** · December 14th 2012, 05:12 PM

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**Plato** · December 14th 2012, 06:08 PM

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 $\left\lfloor {\frac{{100}}{8}} \right\rfloor + \left\lfloor {\frac{{100}}{{12}}} \right\rfloor - \left\lfloor {\frac{{100}}{{24}}} \right\rfloor$

**brianjasperman** · December 14th 2012, 06:39 PM

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**brianjasperman** · December 14th 2012, 06:43 PM

I see now. I wrote ARE DIVISIBLE, when I meant to say ARE NOT....
So, I am right?

**brianjasperman** · December 14th 2012, 06:45 PM

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!

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

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