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December 21, 2014

December 21, 2014

Posted by **ray** on Friday, May 31, 2013 at 11:15am.

- math -
**Steve**, Friday, May 31, 2013 at 11:29amThis is perfect for a Venn diagram. Draw three intersecting circles, where there is a non-empty space where all three circles intersect.

Start from the center and work your way out.

The center area contains 4.

9 used carpool and bus. Of those, 4 used all three methods, leaving 5 inside the carpool-bus intersection, but outside the center.

10 used carpool and own-car. Of those, 4 used all three methods, leaving 6 inside the carpool-self intersection, but outside the center.

That makes 4+5+6=15 who used carpool and some other method. So, that leaves 13 who used ONLY carpool.

Do similar figuring for only bus and only self-car.

Add up the numbers in all the sections of the diagram, and subtract that from the Universe of 100 students. Those will be the ones who used none of the methods.

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